88564320 has 384 divisors, whose sum is σ = 355622400. Its totient is φ = 20404224.

The previous prime is 88564319. The next prime is 88564321. The reversal of 88564320 is 2346588.

88564320 is a `hidden beast` number, since 8 + 8 + 5 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88564319) and next prime (88564321).

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 (88564321) 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 63 ways as a sum of consecutive naturals, for example, 1066999 + ... + 1067081.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^88564320 is an apocalyptic number.

88564320 is a gapful number since it is divisible by the number (80) 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 88564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

88564320 is an abundant number, since it is smaller than the sum of its proper divisors (267058080).

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

88564320 is a wasteful number, since it uses less digits than its factorization.

88564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 88564320 is about 9410.8618096325. The cubic root of 88564320 is about 445.7447781337.

The spelling of 88564320 in words is "eighty-eight million, five hundred sixty-four thousand, three hundred twenty".