90928160 has 96 divisors (see below), whose sum is σ = 224042112. Its totient is φ = 34846720.

The previous prime is 90928157. The next prime is 90928163. The reversal of 90928160 is 6182909.

It is an interprime number because it is at equal distance from previous prime (90928157) and next prime (90928163).

It is a self number, because there is not a number n which added to its sum of digits gives 90928160.

It is not an unprimeable number, because it can be changed into a prime (90928163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544397 + ... + 544563.

It is an arithmetic number, because the mean of its divisors is an integer number (2333772).

Almost surely, 2^90928160 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 90928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112021056).

90928160 is an abundant number, since it is smaller than the sum of its proper divisors (133113952).

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

90928160 is a wasteful number, since it uses less digits than its factorization.

90928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 90928160 is about 9535.6258315855. The cubic root of 90928160 is about 449.6757499550.

The spelling of 90928160 in words is "ninety million, nine hundred twenty-eight thousand, one hundred sixty".