90431968 has 48 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 40867200.

The previous prime is 90431941. The next prime is 90431981. The reversal of 90431968 is 86913409.

It is a self number, because there is not a number n which added to its sum of digits gives 90431968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69403 + ... + 70693.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^90431968 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 90431968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

90431968 is an abundant number, since it is smaller than the sum of its proper divisors (104918432).

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

90431968 is a wasteful number, since it uses less digits than its factorization.

90431968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 90431968 is about 9509.5724404413. The cubic root of 90431968 is about 448.8563022814.

It can be divided in two parts, 9043 and 1968, that added together give a palindrome (11011).

The spelling of 90431968 in words is "ninety million, four hundred thirty-one thousand, nine hundred sixty-eight".