90738984 has 192 divisors, whose sum is σ = 288921600. Its totient is φ = 23587200.

The previous prime is 90738961. The next prime is 90738997. The reversal of 90738984 is 48983709.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692599 + ... + 692729.

It is an arithmetic number, because the mean of its divisors is an integer number (1504800).

Almost surely, 2^90738984 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 90738984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

90738984 is an abundant number, since it is smaller than the sum of its proper divisors (198182616).

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

90738984 is a wasteful number, since it uses less digits than its factorization.

90738984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 90738984 is about 9525.7012340300. The cubic root of 90738984 is about 449.3636833649.

The spelling of 90738984 in words is "ninety million, seven hundred thirty-eight thousand, nine hundred eighty-four".