90039168 has 64 divisors (see below), whose sum is σ = 265750800. Its totient is φ = 30011904.

The previous prime is 90039163. The next prime is 90039211. The reversal of 90039168 is 86193009.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90039163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9571 + ... + 16482.

Almost surely, 2^90039168 is an apocalyptic number.

It is an amenable number.

90039168 is an abundant number, since it is smaller than the sum of its proper divisors (175711632).

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

90039168 is a wasteful number, since it uses less digits than its factorization.

90039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26076 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90039168 is about 9488.8970908109. The cubic root of 90039168 is about 448.2054754720.

The spelling of 90039168 in words is "ninety million, thirty-nine thousand, one hundred sixty-eight".