90882960 has 160 divisors (see below), whose sum is σ = 329121792. Its totient is φ = 20313600.

The previous prime is 90882941. The next prime is 90882991. The reversal of 90882960 is 6928809.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78385 + ... + 79535.

Almost surely, 2^90882960 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 90882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560896).

90882960 is an abundant number, since it is smaller than the sum of its proper divisors (238238832).

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

90882960 is a wasteful number, since it uses less digits than its factorization.

90882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 90882960 is about 9533.2554775376. The cubic root of 90882960 is about 449.6012269737.

The spelling of 90882960 in words is "ninety million, eight hundred eighty-two thousand, nine hundred sixty".