67664961 has 24 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 35690976.

The previous prime is 67664953. The next prime is 67664983. The reversal of 67664961 is 16946676.

It is a happy number.

It is not a de Polignac number, because 67664961 - 2³ = 67664953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67664951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40491 + ... + 42128.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^67664961 is an apocalyptic number.

It is an amenable number.

67664961 is a deficient number, since it is larger than the sum of its proper divisors (52629759).

67664961 is a wasteful number, since it uses less digits than its factorization.

67664961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82645 (or 82642 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 67664961 is about 8225.8714431968. The cubic root of 67664961 is about 407.4940563952.

The spelling of 67664961 in words is "sixty-seven million, six hundred sixty-four thousand, nine hundred sixty-one".