90363456 has 84 divisors (see below), whose sum is σ = 263499600. Its totient is φ = 29599488.

The previous prime is 90363443. The next prime is 90363461. The reversal of 90363456 is 65436309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90363456.

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 11 ways as a sum of consecutive naturals, for example, 32655 + ... + 35313.

It is an arithmetic number, because the mean of its divisors is an integer number (3136900).

Almost surely, 2^90363456 is an apocalyptic number.

90363456 is a gapful number since it is divisible by the number (96) 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 90363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131749800).

90363456 is an abundant number, since it is smaller than the sum of its proper divisors (173136144).

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

90363456 is a wasteful number, since it uses less digits than its factorization.

90363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 90363456 is about 9505.9694929029. The cubic root of 90363456 is about 448.7429212396.

The spelling of 90363456 in words is "ninety million, three hundred sixty-three thousand, four hundred fifty-six".