633664 has 14 divisors (see below), whose sum is σ = 1257554. Its totient is φ = 316800.

The previous prime is 633653. The next prime is 633667. The reversal of 633664 is 466336.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 6400 = 792^2 + 80^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4887 + ... + 5014.

2⁶³³⁶⁶⁴ is an apocalyptic number.

633664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

633664 is a deficient number, since it is larger than the sum of its proper divisors (623890).

633664 is an equidigital number, since it uses as much as digits as its factorization.

633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9903 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 633664 is about 796.0301501828. The cubic root of 633664 is about 85.8920585545.

It can be divided in two parts, 6336 and 64, that multiplied together give a palindrome (405504).

The spelling of 633664 in words is "six hundred thirty-three thousand, six hundred sixty-four".