617980 has 36 divisors (see below), whose sum is σ = 1442952. Its totient is φ = 220480.

The previous prime is 617971. The next prime is 617983. The reversal of 617980 is 89716.

It is an Ulam number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11634 + ... + 11686.

It is an arithmetic number, because the mean of its divisors is an integer number (40082).

2⁶¹⁷⁹⁸⁰ 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 617980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721476).

617980 is an abundant number, since it is smaller than the sum of its proper divisors (824972).

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

617980 is a wasteful number, since it uses less digits than its factorization.

617980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 617980 is about 786.1170396321. The cubic root of 617980 is about 85.1774838192.

It can be divided in two parts, 6 and 17980, that multiplied together give a triangular number (107880 = T₄₆₄).

The spelling of 617980 in words is "six hundred seventeen thousand, nine hundred eighty".