66577056 has 96 divisors (see below), whose sum is σ = 215123328. Its totient is φ = 17556480.

The previous prime is 66577031. The next prime is 66577067. The reversal of 66577056 is 65077566.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66576999 and 66577017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4926 + ... + 12546.

It is an arithmetic number, because the mean of its divisors is an integer number (2240868).

Almost surely, 2^66577056 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 66577056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107561664).

66577056 is an abundant number, since it is smaller than the sum of its proper divisors (148546272).

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

66577056 is a wasteful number, since it uses less digits than its factorization.

66577056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 66577056 is about 8159.4764537929. The cubic root of 66577056 is about 405.2983748513.

The spelling of 66577056 in words is "sixty-six million, five hundred seventy-seven thousand, fifty-six".