90588192 has 48 divisors (see below), whose sum is σ = 240680160. Its totient is φ = 29829632.

The previous prime is 90588161. The next prime is 90588227. The reversal of 90588192 is 29188509.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284 + ... + 13652.

It is an arithmetic number, because the mean of its divisors is an integer number (5014170).

Almost surely, 2^90588192 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 90588192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120340080).

90588192 is an abundant number, since it is smaller than the sum of its proper divisors (150091968).

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

90588192 is a wasteful number, since it uses less digits than its factorization.

90588192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 90588192 is about 9517.7829351168. The cubic root of 90588192 is about 449.1146245977.

The spelling of 90588192 in words is "ninety million, five hundred eighty-eight thousand, one hundred ninety-two".