64629144 has 48 divisors (see below), whose sum is σ = 179854200. Its totient is φ = 21503664.

The previous prime is 64629137. The next prime is 64629151. The reversal of 64629144 is 44192646.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64629144 is a `hidden beast` number, since 646 + 2 + 9 + 1 + 4 + 4 = 666.

64629144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64629137) and next prime (64629151).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64629099 and 64629108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 117879 + ... + 118425.

Almost surely, 2^64629144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89927100).

64629144 is an abundant number, since it is smaller than the sum of its proper divisors (115225056).

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

64629144 is an equidigital number, since it uses as much as digits as its factorization.

64629144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 552 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64629144 is about 8039.2253358144. The cubic root of 64629144 is about 401.3064450247.

The spelling of 64629144 in words is "sixty-four million, six hundred twenty-nine thousand, one hundred forty-four".