67009664 has 32 divisors (see below), whose sum is σ = 137113500. Its totient is φ = 32596992.

The previous prime is 67009661. The next prime is 67009667. The reversal of 67009664 is 46690076.

It is an interprime number because it is at equal distance from previous prime (67009661) and next prime (67009667).

It can be written as a sum of positive squares in 2 ways, for example, as 51955264 + 15054400 = 7208^2 + 3880^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (67009661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2339 + ... + 11810.

Almost surely, 2^67009664 is an apocalyptic number.

67009664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67009664 is an abundant number, since it is smaller than the sum of its proper divisors (70103836).

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

67009664 is a wasteful number, since it uses less digits than its factorization.

67009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 67009664 is about 8185.9430733423. The cubic root of 67009664 is about 406.1743368674.

The spelling of 67009664 in words is "sixty-seven million, nine thousand, six hundred sixty-four".