88087104 has 126 divisors (see below), whose sum is σ = 293802054. Its totient is φ = 25159680.

The previous prime is 88087067. The next prime is 88087117. The reversal of 88087104 is 40178088.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 42928704 = 6720^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×88087104² = 15518675782213632, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26664 + ... + 29784.

Almost surely, 2^88087104 is an apocalyptic number.

88087104 is a gapful number since it is divisible by the number (84) 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 88087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146901027).

88087104 is an abundant number, since it is smaller than the sum of its proper divisors (205714950).

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

88087104 is a wasteful number, since it uses less digits than its factorization.

88087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 88087104 is about 9385.4730301674. The cubic root of 88087104 is about 444.9427254486.

The spelling of 88087104 in words is "eighty-eight million, eighty-seven thousand, one hundred four".