66967296 has 72 divisors (see below), whose sum is σ = 194457984. Its totient is φ = 20290560.

The previous prime is 66967291. The next prime is 66967321. The reversal of 66967296 is 69276966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66967291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4485 + ... + 12411.

Almost surely, 2^66967296 is an apocalyptic number.

66967296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97228992).

66967296 is an abundant number, since it is smaller than the sum of its proper divisors (127490688).

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

66967296 is a wasteful number, since it uses less digits than its factorization.

66967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7943 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 66967296 is about 8183.3548132780. The cubic root of 66967296 is about 406.0887152749.

The spelling of 66967296 in words is "sixty-six million, nine hundred sixty-seven thousand, two hundred ninety-six".