90386880 has 56 divisors (see below), whose sum is σ = 286981392. Its totient is φ = 24102912.

The previous prime is 90386869. The next prime is 90386897. The reversal of 90386880 is 8868309.

It is a super-2 number, since 2×90386880² = 16339576152268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 46117 + ... + 48036.

Almost surely, 2^90386880 is an apocalyptic number.

It is an amenable number.

90386880 is an abundant number, since it is smaller than the sum of its proper divisors (196594512).

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

90386880 is a wasteful number, since it uses less digits than its factorization.

90386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94173 (or 94163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 90386880 is about 9507.2014809827. The cubic root of 90386880 is about 448.7816922448.

The spelling of 90386880 in words is "ninety million, three hundred eighty-six thousand, eight hundred eighty".