88564608 has 192 divisors, whose sum is σ = 288802800. Its totient is φ = 25804800.

The previous prime is 88564607. The next prime is 88564621. The reversal of 88564608 is 80646588.

88564608 is a `hidden beast` number, since 88 + 564 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88564601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 367368 + ... + 367608.

Almost surely, 2^88564608 is an apocalyptic number.

88564608 is a gapful number since it is divisible by the number (88) 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 88564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144401400).

88564608 is an abundant number, since it is smaller than the sum of its proper divisors (200238192).

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

88564608 is a wasteful number, since it uses less digits than its factorization.

88564608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 88564608 is about 9410.8771110880. The cubic root of 88564608 is about 445.7452613017.

The spelling of 88564608 in words is "eighty-eight million, five hundred sixty-four thousand, six hundred eight".