66996576 has 72 divisors (see below), whose sum is σ = 191351160. Its totient is φ = 22235136.

The previous prime is 66996569. The next prime is 66996577. The reversal of 66996576 is 67569966.

66996576 is a `hidden beast` number, since 6 + 69 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66996577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101335 + ... + 101993.

It is an arithmetic number, because the mean of its divisors is an integer number (2657655).

Almost surely, 2^66996576 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 66996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95675580).

66996576 is an abundant number, since it is smaller than the sum of its proper divisors (124354584).

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

66996576 is a wasteful number, since it uses less digits than its factorization.

66996576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 66996576 is about 8185.1436151115. The cubic root of 66996576 is about 406.1478911502.

The spelling of 66996576 in words is "sixty-six million, nine hundred ninety-six thousand, five hundred seventy-six".