617664 has 28 divisors (see below), whose sum is σ = 1634744. Its totient is φ = 205824.

The previous prime is 617657. The next prime is 617677. The reversal of 617664 is 466716.

It is an unprimeable number.

617664 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, 1417 + ... + 1800.

2⁶¹⁷⁶⁶⁴ is an apocalyptic number.

617664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

617664 is an abundant number, since it is smaller than the sum of its proper divisors (1017080).

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

617664 is a wasteful number, since it uses less digits than its factorization.

617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3222 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 617664 is about 785.9160260486. The cubic root of 617664 is about 85.1629630288.

The spelling of 617664 in words is "six hundred seventeen thousand, six hundred sixty-four".