90366624 has 96 divisors (see below), whose sum is σ = 270103680. Its totient is φ = 29376000.

The previous prime is 90366623. The next prime is 90366629. The reversal of 90366624 is 42666309.

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

It is a super-2 number, since 2×90366624² = 16332253466314752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90366623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34149 + ... + 36699.

It is an arithmetic number, because the mean of its divisors is an integer number (2813580).

Almost surely, 2^90366624 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 90366624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135051840).

90366624 is an abundant number, since it is smaller than the sum of its proper divisors (179737056).

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

90366624 is a wasteful number, since it uses less digits than its factorization.

90366624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 90366624 is about 9506.1361235783. The cubic root of 90366624 is about 448.7481652509.

The spelling of 90366624 in words is "ninety million, three hundred sixty-six thousand, six hundred twenty-four".