90168876 has 120 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 25399008.

The previous prime is 90168853. The next prime is 90168887. The reversal of 90168876 is 67886109.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188005 + ... + 188483.

It is an arithmetic number, because the mean of its divisors is an integer number (2276736).

Almost surely, 2^90168876 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 90168876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

90168876 is an abundant number, since it is smaller than the sum of its proper divisors (183039444).

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

90168876 is a wasteful number, since it uses less digits than its factorization.

90168876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 90168876 is about 9495.7293558736. The cubic root of 90168876 is about 448.4205964507.

The spelling of 90168876 in words is "ninety million, one hundred sixty-eight thousand, eight hundred seventy-six".