64629540 has 144 divisors (see below), whose sum is σ = 208510848. Its totient is φ = 16169472.

The previous prime is 64629503. The next prime is 64629541. The reversal of 64629540 is 4592646.

64629540 is a `hidden beast` number, since 646 + 2 + 9 + 5 + 4 + 0 = 666.

64629540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64629540² = 8353954881223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64629495 and 64629504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64629541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277264 + ... + 277496.

It is an arithmetic number, because the mean of its divisors is an integer number (1447992).

Almost surely, 2^64629540 is an apocalyptic number.

64629540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64629540 is the 4020-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64629540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424).

64629540 is an abundant number, since it is smaller than the sum of its proper divisors (143881308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64629540 is a wasteful number, since it uses less digits than its factorization.

64629540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 64629540 is about 8039.2499650154. The cubic root of 64629540 is about 401.3072646602.

The spelling of 64629540 in words is "sixty-four million, six hundred twenty-nine thousand, five hundred forty".