90813312 has 160 divisors (see below), whose sum is σ = 285100200. Its totient is φ = 28615680.

The previous prime is 90813301. The next prime is 90813343. The reversal of 90813312 is 21331809.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196762 + ... + 197222.

Almost surely, 2^90813312 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 90813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550100).

90813312 is an abundant number, since it is smaller than the sum of its proper divisors (194286888).

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

90813312 is a wasteful number, since it uses less digits than its factorization.

90813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90813312 is about 9529.6018804565. The cubic root of 90813312 is about 449.4863472472.

It can be divided in two parts, 90813 and 312, that added together give a cube (91125 = 45³).

The spelling of 90813312 in words is "ninety million, eight hundred thirteen thousand, three hundred twelve".