87088365 has 160 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 34338816.

The previous prime is 87088319. The next prime is 87088367. The reversal of 87088365 is 56388078.

It is not a de Polignac number, because 87088365 - 2⁶ = 87088301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 87088365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87088367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 626466 + ... + 626604.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 2^87088365 is an apocalyptic number.

87088365 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87088365 is an abundant number, since it is smaller than the sum of its proper divisors (117817875).

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

87088365 is a wasteful number, since it uses less digits than its factorization.

87088365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87088365 is about 9332.1147121111. The cubic root of 87088365 is about 443.2547303815.

The spelling of 87088365 in words is "eighty-seven million, eighty-eight thousand, three hundred sixty-five".