90380976 has 80 divisors (see below), whose sum is σ = 282553344. Its totient is φ = 24302592.

The previous prime is 90380971. The next prime is 90380999. The reversal of 90380976 is 67908309.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (90380971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 13623.

Almost surely, 2^90380976 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 90380976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141276672).

90380976 is an abundant number, since it is smaller than the sum of its proper divisors (192172368).

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

90380976 is a wasteful number, since it uses less digits than its factorization.

90380976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15852 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 90380976 is about 9506.8909744459. The cubic root of 90380976 is about 448.7719206761.

The spelling of 90380976 in words is "ninety million, three hundred eighty thousand, nine hundred seventy-six".