88185060 has 72 divisors (see below), whose sum is σ = 274745016. Its totient is φ = 22878720.

The previous prime is 88185043. The next prime is 88185079. The reversal of 88185060 is 6058188.

It can be written as a sum of positive squares in 4 ways, for example, as 54730404 + 33454656 = 7398^2 + 5784^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (3815903).

Almost surely, 2^88185060 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 88185060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137372508).

88185060 is an abundant number, since it is smaller than the sum of its proper divisors (186559956).

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

88185060 is a wasteful number, since it uses less digits than its factorization.

88185060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 88185060 is about 9390.6900704900. The cubic root of 88185060 is about 445.1075950745.

The spelling of 88185060 in words is "eighty-eight million, one hundred eighty-five thousand, sixty".