64831872 has 128 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 18247680.

The previous prime is 64831859. The next prime is 64831883. The reversal of 64831872 is 27813846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (64512) is a multiple of the sum of its prime factors (384).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 64831872.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 239097 + ... + 239367.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^64831872 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 64831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

64831872 is an abundant number, since it is smaller than the sum of its proper divisors (134924928).

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

64831872 is a wasteful number, since it uses less digits than its factorization.

64831872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 64831872 is about 8051.8241411496. The cubic root of 64831872 is about 401.7256116230.

It can be divided in two parts, 64831 and 872, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 64831872 in words is "sixty-four million, eight hundred thirty-one thousand, eight hundred seventy-two".