64044864 has 112 divisors (see below), whose sum is σ = 202834240. Its totient is φ = 19699200.

The previous prime is 64044863. The next prime is 64044889. The reversal of 64044864 is 46844046.

64044864 is a `hidden beast` number, since 640 + 4 + 4 + 8 + 6 + 4 = 666.

64044864 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-3 number, since 3×64044864³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64044863) 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 15 ways as a sum of consecutive naturals, for example, 21039 + ... + 23889.

It is an arithmetic number, because the mean of its divisors is an integer number (1811020).

Almost surely, 2^64044864 is an apocalyptic number.

64044864 is a gapful number since it is divisible by the number (64) 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 64044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101417120).

64044864 is an abundant number, since it is smaller than the sum of its proper divisors (138789376).

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

64044864 is a wasteful number, since it uses less digits than its factorization.

64044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64044864 is about 8002.8035087712. The cubic root of 64044864 is about 400.0934448351.

The spelling of 64044864 in words is "sixty-four million, forty-four thousand, eight hundred sixty-four".