88124580 has 72 divisors (see below), whose sum is σ = 273853944. Its totient is φ = 22924800.

The previous prime is 88124567. The next prime is 88124581. The reversal of 88124580 is 8542188.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 87497316 = 792^2 + 9354^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88124581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (3803527).

Almost surely, 2^88124580 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 88124580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136926972).

88124580 is an abundant number, since it is smaller than the sum of its proper divisors (185729364).

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

88124580 is a wasteful number, since it uses less digits than its factorization.

88124580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88124580 is about 9387.4693075397. The cubic root of 88124580 is about 445.0058156880.

The spelling of 88124580 in words is "eighty-eight million, one hundred twenty-four thousand, five hundred eighty".