90375120 has 120 divisors (see below), whose sum is σ = 331130592. Its totient is φ = 21907200.

The previous prime is 90375091. The next prime is 90375133. The reversal of 90375120 is 2157309.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 2215 + ... + 13625.

Almost surely, 2^90375120 is an apocalyptic number.

90375120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165565296).

90375120 is an abundant number, since it is smaller than the sum of its proper divisors (240755472).

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

90375120 is a wasteful number, since it uses less digits than its factorization.

90375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441 (or 11432 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90375120 is about 9506.5829823339. The cubic root of 90375120 is about 448.7622281308.

The spelling of 90375120 in words is "ninety million, three hundred seventy-five thousand, one hundred twenty".