65625984 has 128 divisors (see below), whose sum is σ = 205264800. Its totient is φ = 20570112.

The previous prime is 65625961. The next prime is 65625991. The reversal of 65625984 is 48952656.

65625984 is a `hidden beast` number, since 6 + 56 + 2 + 598 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58194 + ... + 59310.

Almost surely, 2^65625984 is an apocalyptic number.

65625984 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 65625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102632400).

65625984 is an abundant number, since it is smaller than the sum of its proper divisors (139638816).

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

65625984 is a wasteful number, since it uses less digits than its factorization.

65625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 65625984 is about 8100.9866065807. The cubic root of 65625984 is about 403.3591775136.

The spelling of 65625984 in words is "sixty-five million, six hundred twenty-five thousand, nine hundred eighty-four".