90339984 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 23721984.

The previous prime is 90339971. The next prime is 90340001. The reversal of 90339984 is 48993309.

It is a super-2 number, since 2×90339984² = 16322625418240512, which contains 22 as substring.

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, 1015012 + ... + 1015100.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^90339984 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 90339984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

90339984 is an abundant number, since it is smaller than the sum of its proper divisors (223032816).

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

90339984 is a wasteful number, since it uses less digits than its factorization.

90339984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 90339984 is about 9504.7348200778. The cubic root of 90339984 is about 448.7040640642.

The spelling of 90339984 in words is "ninety million, three hundred thirty-nine thousand, nine hundred eighty-four".