90864160 has 96 divisors (see below), whose sum is σ = 225130752. Its totient is φ = 34621440.

The previous prime is 90864157. The next prime is 90864181. The reversal of 90864160 is 6146809.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323220 + ... + 323500.

It is an arithmetic number, because the mean of its divisors is an integer number (2345112).

Almost surely, 2^90864160 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 90864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112565376).

90864160 is an abundant number, since it is smaller than the sum of its proper divisors (134266592).

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

90864160 is a wasteful number, since it uses less digits than its factorization.

90864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 90864160 is about 9532.2694045017. The cubic root of 90864160 is about 449.5702234135.

The spelling of 90864160 in words is "ninety million, eight hundred sixty-four thousand, one hundred sixty".