90318960 has 240 divisors, whose sum is σ = 330086016. Its totient is φ = 22044672.

The previous prime is 90318929. The next prime is 90318973. The reversal of 90318960 is 6981309.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 575202 + ... + 575358.

Almost surely, 2^90318960 is an apocalyptic number.

90318960 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 90318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165043008).

90318960 is an abundant number, since it is smaller than the sum of its proper divisors (239767056).

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

90318960 is a wasteful number, since it uses less digits than its factorization.

90318960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90318960 is about 9503.6287806290. The cubic root of 90318960 is about 448.6692537631.

The spelling of 90318960 in words is "ninety million, three hundred eighteen thousand, nine hundred sixty".