66767056 has 40 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 32110080.

The previous prime is 66767053. The next prime is 66767069. The reversal of 66767056 is 65076766.

66767056 = 786² + 787² + ... + 881².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66767053) 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, 112296 + ... + 112888.

Almost surely, 2^66767056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66767056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

66767056 is an abundant number, since it is smaller than the sum of its proper divisors (67581488).

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

66767056 is a wasteful number, since it uses less digits than its factorization.

66767056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 66767056 is about 8171.1110627625. Note that the first 3 decimals coincide. The cubic root of 66767056 is about 405.6835603639.

The spelling of 66767056 in words is "sixty-six million, seven hundred sixty-seven thousand, fifty-six".