617280 has 56 divisors (see below), whose sum is σ = 1962912. Its totient is φ = 164352.

The previous prime is 617273. The next prime is 617293. The reversal of 617280 is 82716.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 617280.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 617280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (35052).

2⁶¹⁷²⁸⁰ is an apocalyptic number.

617280 is a gapful number since it is divisible by the number (60) 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 617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981456).

617280 is an abundant number, since it is smaller than the sum of its proper divisors (1345632).

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

617280 is a wasteful number, since it uses less digits than its factorization.

617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 617280 is about 785.6716871569. The cubic root of 617280 is about 85.1453108441.

Adding to 617280 its reverse (82716), we get a palindrome (699996).

The spelling of 617280 in words is "six hundred seventeen thousand, two hundred eighty".