918624 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 262272.

The previous prime is 918613. The next prime is 918641. The reversal of 918624 is 426819.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 918591 and 918600.

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 918624.

It is an unprimeable number.

918624 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 7 ways as a sum of consecutive naturals, for example, 12 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2⁹¹⁸⁶²⁴ 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 918624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

918624 is an abundant number, since it is smaller than the sum of its proper divisors (1839264).

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

918624 is a wasteful number, since it uses less digits than its factorization.

918624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1379 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 918624 is about 958.4487466735. The cubic root of 918624 is about 97.2103699414.

The spelling of 918624 in words is "nine hundred eighteen thousand, six hundred twenty-four".