90130768 has 80 divisors (see below), whose sum is σ = 217374976. Its totient is φ = 35251200.

The previous prime is 90130763. The next prime is 90130769. The reversal of 90130768 is 86703109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90130763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149668 + ... + 150268.

Almost surely, 2^90130768 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 90130768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108687488).

90130768 is an abundant number, since it is smaller than the sum of its proper divisors (127244208).

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

90130768 is a wasteful number, since it uses less digits than its factorization.

90130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 90130768 is about 9493.7225575640. The cubic root of 90130768 is about 448.3574156698.

The spelling of 90130768 in words is "ninety million, one hundred thirty thousand, seven hundred sixty-eight".