617864 has 24 divisors (see below), whose sum is σ = 1257210. Its totient is φ = 284544.

The previous prime is 617857. The next prime is 617873. The reversal of 617864 is 468716.

It can be written as a sum of positive squares in 3 ways, for example, as 432964 + 184900 = 658^2 + 430^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 617864.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1124 + ... + 1580.

2⁶¹⁷⁸⁶⁴ 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 617864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628605).

617864 is an abundant number, since it is smaller than the sum of its proper divisors (639346).

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

617864 is a wasteful number, since it uses less digits than its factorization.

617864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 617864 is about 786.0432558072. The cubic root of 617864 is about 85.1721539776.

The spelling of 617864 in words is "six hundred seventeen thousand, eight hundred sixty-four".