64801872 has 60 divisors (see below), whose sum is σ = 181898080. Its totient is φ = 21536064.

The previous prime is 64801871. The next prime is 64801889. The reversal of 64801872 is 27810846.

64801872 is a `hidden beast` number, since 648 + 0 + 1 + 8 + 7 + 2 = 666.

64801872 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 2×64801872² = 8398565229408768, which contains 22 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 (64801871) 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 11 ways as a sum of consecutive naturals, for example, 88773 + ... + 89499.

Almost surely, 2^64801872 is an apocalyptic number.

It is an amenable number.

64801872 is an abundant number, since it is smaller than the sum of its proper divisors (117096208).

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

64801872 is a wasteful number, since it uses less digits than its factorization.

64801872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 64801872 is about 8049.9609936943. The cubic root of 64801872 is about 401.6636378469.

The spelling of 64801872 in words is "sixty-four million, eight hundred one thousand, eight hundred seventy-two".