90465312 has 96 divisors (see below), whose sum is σ = 274240512. Its totient is φ = 25576704.

The previous prime is 90465307. The next prime is 90465367. The reversal of 90465312 is 21356409.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 90465312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68563 + ... + 69869.

It is an arithmetic number, because the mean of its divisors is an integer number (2856672).

Almost surely, 2^90465312 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 90465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137120256).

90465312 is an abundant number, since it is smaller than the sum of its proper divisors (183775200).

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

90465312 is a wasteful number, since it uses less digits than its factorization.

90465312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 90465312 is about 9511.3254596823. The cubic root of 90465312 is about 448.9114628098.

The spelling of 90465312 in words is "ninety million, four hundred sixty-five thousand, three hundred twelve".