618912 has 72 divisors (see below), whose sum is σ = 2018016. Its totient is φ = 176256.

The previous prime is 618883. The next prime is 618913. The reversal of 618912 is 219816.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (618913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2⁶¹⁸⁹¹² 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 618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008).

618912 is an abundant number, since it is smaller than the sum of its proper divisors (1399104).

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

618912 is a wasteful number, since it uses less digits than its factorization.

618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 618912 is about 786.7096033480. The cubic root of 618912 is about 85.2202821515.

The spelling of 618912 in words is "six hundred eighteen thousand, nine hundred twelve".