918960 has 80 divisors (see below), whose sum is σ = 3261696. Its totient is φ = 209664.

The previous prime is 918959. The next prime is 918971. The reversal of 918960 is 69819.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1407 + ... + 1953.

2⁹¹⁸⁹⁶⁰ 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 918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630848).

918960 is an abundant number, since it is smaller than the sum of its proper divisors (2342736).

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

918960 is a wasteful number, since it uses less digits than its factorization.

918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 918960 is about 958.6240138866. The cubic root of 918960 is about 97.2222205291. Note that the first 5 decimals are identical.

The spelling of 918960 in words is "nine hundred eighteen thousand, nine hundred sixty".