67664 has 10 divisors (see below), whose sum is σ = 131130. Its totient is φ = 33824.

The previous prime is 67651. The next prime is 67679. The reversal of 67664 is 46676.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 64 = 260^2 + 8^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67664.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2099 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (13113).

2⁶⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

67664 is a deficient number, since it is larger than the sum of its proper divisors (63466).

67664 is a wasteful number, since it uses less digits than its factorization.

67664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4231 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 67664 is about 260.1230478062. The cubic root of 67664 is about 40.7492127265.

Subtracting from 67664 its product of digits (6048), we obtain a palindrome (61616).

It can be divided in two parts, 676 and 64, that multiplied together give a square (43264 = 208²).

The spelling of 67664 in words is "sixty-seven thousand, six hundred sixty-four".