90133680 has 160 divisors (see below), whose sum is σ = 343977984. Its totient is φ = 19012608.

The previous prime is 90133669. The next prime is 90133691. The reversal of 90133680 is 8633109.

It is an interprime number because it is at equal distance from previous prime (90133669) and next prime (90133691).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 19777 + ... + 23903.

Almost surely, 2^90133680 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 90133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171988992).

90133680 is an abundant number, since it is smaller than the sum of its proper divisors (253844304).

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

90133680 is a wasteful number, since it uses less digits than its factorization.

90133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90133680 is about 9493.8759208239. The cubic root of 90133680 is about 448.3622442197.

Adding to 90133680 its reverse (8633109), we get a palindrome (98766789).

The spelling of 90133680 in words is "ninety million, one hundred thirty-three thousand, six hundred eighty".