66957056 has 54 divisors (see below), whose sum is σ = 138865272. Its totient is φ = 32220160.

The previous prime is 66957049. The next prime is 66957061. The reversal of 66957056 is 65075966.

It is a junction number, because it is equal to n+sod(n) for n = 66956998 and 66957016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215141 + ... + 215451.

Almost surely, 2^66957056 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 66957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69432636).

66957056 is an abundant number, since it is smaller than the sum of its proper divisors (71908216).

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

66957056 is an equidigital number, since it uses as much as digits as its factorization.

66957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 66957056 is about 8182.7291290865. The cubic root of 66957056 is about 406.0680158158.

The spelling of 66957056 in words is "sixty-six million, nine hundred fifty-seven thousand, fifty-six".