90960 has 40 divisors (see below), whose sum is σ = 282720. Its totient is φ = 24192.

The previous prime is 90947. The next prime is 90971. The reversal of 90960 is 6909.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁹⁰⁹⁶⁰ 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 90960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

90960 is an abundant number, since it is smaller than the sum of its proper divisors (191760).

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

90960 is a wasteful number, since it uses less digits than its factorization.

90960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 90960 is about 301.5957559383. The cubic root of 90960 is about 44.9728230965.

It can be divided in two parts, 909 and 60, that added together give a palindrome (969).

The spelling of 90960 in words is "ninety thousand, nine hundred sixty".