88560000 has 320 divisors, whose sum is σ = 334580400. Its totient is φ = 23040000.

The previous prime is 88559957. The next prime is 88560001. The reversal of 88560000 is 6588.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88560001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159980 + ... + 2160020.

Almost surely, 2^88560000 is an apocalyptic number.

88560000 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 88560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167290200).

88560000 is an abundant number, since it is smaller than the sum of its proper divisors (246020400).

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

88560000 is an equidigital number, since it uses as much as digits as its factorization.

88560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88560000 is about 9410.6322848149. The cubic root of 88560000 is about 445.7375304868.

Adding to 88560000 its reverse (6588), we get a palindrome (88566588).

The spelling of 88560000 in words is "eighty-eight million, five hundred sixty thousand".