918864 has 50 divisors (see below), whose sum is σ = 2663210. Its totient is φ = 305856.

The previous prime is 918857. The next prime is 918877. The reversal of 918864 is 468819.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 291600 = 792^2 + 540^2 .

It is a super-2 number, since 2×918864² = 1688622100992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 918864.

It is an unprimeable number.

918864 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 942 + ... + 1650.

2⁹¹⁸⁸⁶⁴ 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 918864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331605).

918864 is an abundant number, since it is smaller than the sum of its proper divisors (1744346).

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

918864 is a wasteful number, since it uses less digits than its factorization.

918864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 918864 is about 958.5739408100. The cubic root of 918864 is about 97.2188349417.

The spelling of 918864 in words is "nine hundred eighteen thousand, eight hundred sixty-four".