64624680 has 96 divisors (see below), whose sum is σ = 212495400. Its totient is φ = 17031168.

The previous prime is 64624639. The next prime is 64624709. The reversal of 64624680 is 8642646.

It is a happy number.

64624680 is a `hidden beast` number, since 646 + 2 + 4 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52969284 + 11655396 = 7278^2 + 3414^2 .

It is a super-3 number, since 3×64624680³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31032 + ... + 33048.

Almost surely, 2^64624680 is an apocalyptic number.

64624680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64624680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106247700).

64624680 is an abundant number, since it is smaller than the sum of its proper divisors (147870720).

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

64624680 is a wasteful number, since it uses less digits than its factorization.

64624680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 64624680 is about 8038.9476923289. The cubic root of 64624680 is about 401.2972052653.

The spelling of 64624680 in words is "sixty-four million, six hundred twenty-four thousand, six hundred eighty".