90338512 has 80 divisors (see below), whose sum is σ = 199130112. Its totient is φ = 39346560.

The previous prime is 90338491. The next prime is 90338513. The reversal of 90338512 is 21583309.

It is a happy number.

It is a super-2 number, since 2×90338512² = 16322093500748288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90338513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554143 + ... + 554305.

Almost surely, 2^90338512 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 90338512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99565056).

90338512 is an abundant number, since it is smaller than the sum of its proper divisors (108791600).

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

90338512 is a wasteful number, since it uses less digits than its factorization.

90338512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 90338512 is about 9504.6573846720. The cubic root of 90338512 is about 448.7016269892.

The spelling of 90338512 in words is "ninety million, three hundred thirty-eight thousand, five hundred twelve".