90938624 has 72 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 37693440.

The previous prime is 90938621. The next prime is 90938633. The reversal of 90938624 is 42683909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90938621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54734 + ... + 56370.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^90938624 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 90938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

90938624 is an abundant number, since it is smaller than the sum of its proper divisors (123337984).

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

90938624 is a wasteful number, since it uses less digits than its factorization.

90938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 90938624 is about 9536.1744950478. The cubic root of 90938624 is about 449.6929988343.

The spelling of 90938624 in words is "ninety million, nine hundred thirty-eight thousand, six hundred twenty-four".