617672 has 16 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 280720.

The previous prime is 617657. The next prime is 617677. The reversal of 617672 is 276716.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 617672.

It is not an unprimeable number, because it can be changed into a prime (617677) by changing a digit.

617672 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 3 ways as a sum of consecutive naturals, for example, 3422 + ... + 3597.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

2⁶¹⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

617672 is an abundant number, since it is smaller than the sum of its proper divisors (645928).

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

617672 is a wasteful number, since it uses less digits than its factorization.

617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7032 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 617672 is about 785.9211156344. The cubic root of 617672 is about 85.1633307049.

The spelling of 617672 in words is "six hundred seventeen thousand, six hundred seventy-two".