90652176 has 80 divisors (see below), whose sum is σ = 261649920. Its totient is φ = 30049920.

The previous prime is 90652157. The next prime is 90652181. The reversal of 90652176 is 67125609.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90652176.

It is an unprimeable number.

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, 95866 + ... + 96806.

It is an arithmetic number, because the mean of its divisors is an integer number (3270624).

Almost surely, 2^90652176 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 90652176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130824960).

90652176 is an abundant number, since it is smaller than the sum of its proper divisors (170997744).

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

90652176 is a wasteful number, since it uses less digits than its factorization.

90652176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90652176 is about 9521.1436287875. The cubic root of 90652176 is about 449.2203388434.

The spelling of 90652176 in words is "ninety million, six hundred fifty-two thousand, one hundred seventy-six".