618400 has 36 divisors (see below), whose sum is σ = 1511622. Its totient is φ = 247040.

The previous prime is 618377. The next prime is 618407. The reversal of 618400 is 4816.

618400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 300304 + 318096 = 548^2 + 564^2 .

It is not an unprimeable number, because it can be changed into a prime (618407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 414 + ... + 1186.

2⁶¹⁸⁴⁰⁰ 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 618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755811).

618400 is an abundant number, since it is smaller than the sum of its proper divisors (893222).

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

618400 is a wasteful number, since it uses less digits than its factorization.

618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 618400 is about 786.3841300535. The cubic root of 618400 is about 85.1967759439.

The spelling of 618400 in words is "six hundred eighteen thousand, four hundred".