90199824 has 160 divisors (see below), whose sum is σ = 290231424. Its totient is φ = 23715840.

The previous prime is 90199771. The next prime is 90199843. The reversal of 90199824 is 42899109.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116302 + ... + 117074.

Almost surely, 2^90199824 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 90199824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145115712).

90199824 is an abundant number, since it is smaller than the sum of its proper divisors (200031600).

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

90199824 is a wasteful number, since it uses less digits than its factorization.

90199824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 90199824 is about 9497.3587907376. The cubic root of 90199824 is about 448.4718932833.

The spelling of 90199824 in words is "ninety million, one hundred ninety-nine thousand, eight hundred twenty-four".