88576000 has 104 divisors (see below), whose sum is σ = 222336504. Its totient is φ = 35225600.

The previous prime is 88575997. The next prime is 88576003. The reversal of 88576000 is 67588.

It is an interprime number because it is at equal distance from previous prime (88575997) and next prime (88576003).

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 88510464 = 256^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (88576003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511914 + ... + 512086.

It is an arithmetic number, because the mean of its divisors is an integer number (2137851).

Almost surely, 2^88576000 is an apocalyptic number.

88576000 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 88576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111168252).

88576000 is an abundant number, since it is smaller than the sum of its proper divisors (133760504).

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

88576000 is an equidigital number, since it uses as much as digits as its factorization.

88576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 88576000 is about 9411.4823487058. The cubic root of 88576000 is about 445.7643724434.

The spelling of 88576000 in words is "eighty-eight million, five hundred seventy-six thousand".