88576 has 20 divisors (see below), whose sum is σ = 178002. Its totient is φ = 44032.

The previous prime is 88547. The next prime is 88589. The reversal of 88576 is 67588.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 30976 = 240^2 + 176^2 .

It is a plaindrome in base 9.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426 + ... + 598.

2⁸⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89001).

88576 is an abundant number, since it is smaller than the sum of its proper divisors (89426).

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

88576 is an equidigital number, since it uses as much as digits as its factorization.

88576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

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

The square root of 88576 is about 297.6172038038. The cubic root of 88576 is about 44.5764372443.

It can be divided in two parts, 885 and 76, that added together give a square (961 = 31²).

The spelling of 88576 in words is "eighty-eight thousand, five hundred seventy-six".