90595680 has 192 divisors, whose sum is σ = 332398080. Its totient is φ = 20312064.

The previous prime is 90595679. The next prime is 90595697. The reversal of 90595680 is 8659509.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198012 + ... + 198468.

It is an arithmetic number, because the mean of its divisors is an integer number (1731240).

Almost surely, 2^90595680 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 90595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

90595680 is an abundant number, since it is smaller than the sum of its proper divisors (241802400).

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

90595680 is a wasteful number, since it uses less digits than its factorization.

90595680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 90595680 is about 9518.1762959088. The cubic root of 90595680 is about 449.1269988287.

The spelling of 90595680 in words is "ninety million, five hundred ninety-five thousand, six hundred eighty".