617320 has 64 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 211200.

The previous prime is 617311. The next prime is 617327. The reversal of 617320 is 23716.

617320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (617327) by changing a digit.

617320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10090 + ... + 10150.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁶¹⁷³²⁰ 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 617320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

617320 is an abundant number, since it is smaller than the sum of its proper divisors (989720).

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

617320 is a wasteful number, since it uses less digits than its factorization.

617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 617320 is about 785.6971426701. The cubic root of 617320 is about 85.1471499548.

It can be divided in two parts, 61 and 7320, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 617320 in words is "six hundred seventeen thousand, three hundred twenty".