90947160 has 96 divisors (see below), whose sum is σ = 297030240. Its totient is φ = 24133632.

The previous prime is 90947159. The next prime is 90947173. The reversal of 90947160 is 6174909.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92029 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (3094065).

Almost surely, 2^90947160 is an apocalyptic number.

90947160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90947160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148515120).

90947160 is an abundant number, since it is smaller than the sum of its proper divisors (206083080).

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

90947160 is a wasteful number, since it uses less digits than its factorization.

90947160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90947160 is about 9536.6220434701. The cubic root of 90947160 is about 449.7070686144.

The spelling of 90947160 in words is "ninety million, nine hundred forty-seven thousand, one hundred sixty".