65988864 has 72 divisors (see below), whose sum is σ = 195161120. Its totient is φ = 21993984.

The previous prime is 65988859. The next prime is 65988877. The reversal of 65988864 is 46888956.

It is a happy number.

65988864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65988864.

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 7 ways as a sum of consecutive naturals, for example, 2139 + ... + 11685.

Almost surely, 2^65988864 is an apocalyptic number.

65988864 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 65988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97580560).

65988864 is an abundant number, since it is smaller than the sum of its proper divisors (129172256).

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

65988864 is an equidigital number, since it uses as much as digits as its factorization.

65988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9552 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 65988864 is about 8123.3530023015. The cubic root of 65988864 is about 404.1012718702.

The spelling of 65988864 in words is "sixty-five million, nine hundred eighty-eight thousand, eight hundred sixty-four".