617984 has 40 divisors (see below), whose sum is σ = 1325808. Its totient is φ = 286720.

The previous prime is 617983. The next prime is 618029. The reversal of 617984 is 489716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8669 + ... + 8739.

2⁶¹⁷⁹⁸⁴ is an apocalyptic number.

617984 is a gapful number since it is divisible by the number (64) 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 617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904).

617984 is an abundant number, since it is smaller than the sum of its proper divisors (707824).

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

617984 is an equidigital number, since it uses as much as digits as its factorization.

617984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 617984 is about 786.1195837784. The cubic root of 617984 is about 85.1776675949.

The spelling of 617984 in words is "six hundred seventeen thousand, nine hundred eighty-four".