90577920 has 88 divisors (see below), whose sum is σ = 289756944. Its totient is φ = 24150016.

The previous prime is 90577913. The next prime is 90577937. The reversal of 90577920 is 2977509.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12412 + ... + 18308.

Almost surely, 2^90577920 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 90577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144878472).

90577920 is an abundant number, since it is smaller than the sum of its proper divisors (199179024).

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

90577920 is a wasteful number, since it uses less digits than its factorization.

90577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 90577920 is about 9517.2432983506. The cubic root of 90577920 is about 449.0976485816.

The spelling of 90577920 in words is "ninety million, five hundred seventy-seven thousand, nine hundred twenty".