90813360 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 21452800.

The previous prime is 90813343. The next prime is 90813367. The reversal of 90813360 is 6331809.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90813367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107821 + ... + 108659.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^90813360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

90813360 is an abundant number, since it is smaller than the sum of its proper divisors (224166480).

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

90813360 is a wasteful number, since it uses less digits than its factorization.

90813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90813360 is about 9529.6043989244. The cubic root of 90813360 is about 449.4864264402.

It can be divided in two parts, 90 and 813360, that added together give a triangular number (813450 = T₁₂₇₅).

The spelling of 90813360 in words is "ninety million, eight hundred thirteen thousand, three hundred sixty".