617120 has 96 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 193536.

The previous prime is 617119. The next prime is 617129. The reversal of 617120 is 21716.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21266 + ... + 21294.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁶¹⁷¹²⁰ 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 617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

617120 is an abundant number, since it is smaller than the sum of its proper divisors (1197280).

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

617120 is a wasteful number, since it uses less digits than its factorization.

617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 617120 is about 785.5698568555. The cubic root of 617120 is about 85.1379536064.

Adding to 617120 its reverse (21716), we get a palindrome (638836).

It can be divided in two parts, 617 and 120, that added together give a palindrome (737).

The spelling of 617120 in words is "six hundred seventeen thousand, one hundred twenty".