627664 has 10 divisors (see below), whose sum is σ = 1216130. Its totient is φ = 313824.

The previous prime is 627661. The next prime is 627667. The reversal of 627664 is 466726.

It is an interprime number because it is at equal distance from previous prime (627661) and next prime (627667).

It can be written as a sum of positive squares in only one way, i.e., 627264 + 400 = 792^2 + 20^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19599 + ... + 19630.

It is an arithmetic number, because the mean of its divisors is an integer number (121613).

2⁶²⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

627664 is a deficient number, since it is larger than the sum of its proper divisors (588466).

627664 is a wasteful number, since it uses less digits than its factorization.

627664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39237 (or 39231 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 627664 is about 792.2524850071. The cubic root of 627664 is about 85.6201018385.

It can be divided in two parts, 627 and 664, that multiplied together give a triangular number (416328 = T₉₁₂).

The spelling of 627664 in words is "six hundred twenty-seven thousand, six hundred sixty-four".