918959904 has 120 divisors (see below), whose sum is σ = 2715617520. Its totient is φ = 306110016.

The previous prime is 918959903. The next prime is 918959929. The reversal of 918959904 is 409959819.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (918959903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629127 + ... + 630585.

It is an arithmetic number, because the mean of its divisors is an integer number (22630146).

Almost surely, 2^918959904 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 918959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357808760).

918959904 is an abundant number, since it is smaller than the sum of its proper divisors (1796657616).

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

918959904 is an frugal number, since it uses more digits than its factorization.

918959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 918959904 is about 30314.3514527360. The cubic root of 918959904 is about 972.2221714363. Note that the first 3 decimals are identical.

The spelling of 918959904 in words is "nine hundred eighteen million, nine hundred fifty-nine thousand, nine hundred four".