88564000 has 96 divisors (see below), whose sum is σ = 248766336. Its totient is φ = 30355200.

The previous prime is 88563983. The next prime is 88564037. The reversal of 88564000 is 46588.

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, 26419 + ... + 29581.

It is an arithmetic number, because the mean of its divisors is an integer number (2591316).

Almost surely, 2^88564000 is an apocalyptic number.

88564000 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 88564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124383168).

88564000 is an abundant number, since it is smaller than the sum of its proper divisors (160202336).

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

88564000 is a wasteful number, since it uses less digits than its factorization.

88564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 88564000 is about 9410.8448079862. The cubic root of 88564000 is about 445.7442412790.

The spelling of 88564000 in words is "eighty-eight million, five hundred sixty-four thousand".