918000 has 160 divisors (see below), whose sum is σ = 3481920. Its totient is φ = 230400.

The previous prime is 917993. The next prime is 918011. The reversal of 918000 is 819.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

918000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53992 + ... + 54008.

It is an arithmetic number, because the mean of its divisors is an integer number (21762).

2⁹¹⁸⁰⁰⁰ is an apocalyptic number.

918000 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 918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960).

918000 is an abundant number, since it is smaller than the sum of its proper divisors (2563920).

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

918000 is a wasteful number, since it uses less digits than its factorization.

918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 918000 is about 958.1231653603. The cubic root of 918000 is about 97.1883540383.

Adding to 918000 its reverse (819), we get a palindrome (918819).

The spelling of 918000 in words is "nine hundred eighteen thousand".