90814920 has 128 divisors (see below), whose sum is σ = 315843840. Its totient is φ = 20459520.

The previous prime is 90814907. The next prime is 90814937. The reversal of 90814920 is 2941809.

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, 60580 + ... + 62060.

It is an arithmetic number, because the mean of its divisors is an integer number (2467530).

Almost surely, 2^90814920 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 90814920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157921920).

90814920 is an abundant number, since it is smaller than the sum of its proper divisors (225028920).

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

90814920 is a wasteful number, since it uses less digits than its factorization.

90814920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 90814920 is about 9529.6862487702. The cubic root of 90814920 is about 449.4890001981.

The spelling of 90814920 in words is "ninety million, eight hundred fourteen thousand, nine hundred twenty".