90089875 has 32 divisors (see below), whose sum is σ = 118130688. Its totient is φ = 68508000.

The previous prime is 90089869. The next prime is 90089893. The reversal of 90089875 is 57898009.

It is not a de Polignac number, because 90089875 - 2⁵ = 90089843 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259452 + ... + 259798.

It is an arithmetic number, because the mean of its divisors is an integer number (3691584).

Almost surely, 2^90089875 is an apocalyptic number.

90089875 is the 7750-th pentagonal number.

90089875 is a deficient number, since it is larger than the sum of its proper divisors (28040813).

90089875 is a wasteful number, since it uses less digits than its factorization.

90089875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 90089875 is about 9491.5686269447. The cubic root of 90089875 is about 448.2895977139.

The spelling of 90089875 in words is "ninety million, eighty-nine thousand, eight hundred seventy-five".