90120384 has 56 divisors (see below), whose sum is σ = 264942320. Its totient is φ = 30039552.

The previous prime is 90120367. The next prime is 90120403. The reversal of 90120384 is 48302109.

It is a super-2 number, since 2×90120384² = 16243367224614912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24349 + ... + 27804.

Almost surely, 2^90120384 is an apocalyptic number.

It is an amenable number.

90120384 is an abundant number, since it is smaller than the sum of its proper divisors (174821936).

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

90120384 is a wasteful number, since it uses less digits than its factorization.

90120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52174 (or 52158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90120384 is about 9493.1756541212. The cubic root of 90120384 is about 448.3401965325.

The spelling of 90120384 in words is "ninety million, one hundred twenty thousand, three hundred eighty-four".