90503568 has 50 divisors (see below), whose sum is σ = 261947334. Its totient is φ = 30167424.

The previous prime is 90503557. The next prime is 90503579. The reversal of 90503568 is 86530509.

90503568 is a `hidden beast` number, since 90 + 5 + 0 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (90503557) and next prime (90503579).

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 34433424 = 7488^2 + 5868^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 33621 + ... + 36212.

Almost surely, 2^90503568 is an apocalyptic number.

It is an amenable number.

90503568 is an abundant number, since it is smaller than the sum of its proper divisors (171443766).

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

90503568 is a wasteful number, since it uses less digits than its factorization.

90503568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69853 (or 69838 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90503568 is about 9513.3363232885. The cubic root of 90503568 is about 448.9747324997.

The spelling of 90503568 in words is "ninety million, five hundred three thousand, five hundred sixty-eight".