90606384 has 160 divisors (see below), whose sum is σ = 296409600. Its totient is φ = 26231040.

The previous prime is 90606371. The next prime is 90606401. The reversal of 90606384 is 48360609.

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

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, 108882 + ... + 109710.

It is an arithmetic number, because the mean of its divisors is an integer number (1852560).

Almost surely, 2^90606384 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 90606384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148204800).

90606384 is an abundant number, since it is smaller than the sum of its proper divisors (205803216).

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

90606384 is a wasteful number, since it uses less digits than its factorization.

90606384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90606384 is about 9518.7385718907. The cubic root of 90606384 is about 449.1446864494.

The spelling of 90606384 in words is "ninety million, six hundred six thousand, three hundred eighty-four".