617680 has 40 divisors (see below), whose sum is σ = 1642752. Its totient is φ = 211584.

The previous prime is 617677. The next prime is 617681. The reversal of 617680 is 86716.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 1111.

2⁶¹⁷⁶⁸⁰ 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 617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821376).

617680 is an abundant number, since it is smaller than the sum of its proper divisors (1025072).

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

617680 is a wasteful number, since it uses less digits than its factorization.

617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 617680 is about 785.9262051872. The cubic root of 617680 is about 85.1636983778.

The spelling of 617680 in words is "six hundred seventeen thousand, six hundred eighty".