66952656 has 100 divisors (see below), whose sum is σ = 204054400. Its totient is φ = 21135168.

The previous prime is 66952651. The next prime is 66952657. The reversal of 66952656 is 65625966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66952651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23265 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (2040544).

Almost surely, 2^66952656 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 66952656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102027200).

66952656 is an abundant number, since it is smaller than the sum of its proper divisors (137101744).

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

66952656 is a wasteful number, since it uses less digits than its factorization.

66952656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2743 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 66952656 is about 8182.4602657147. The cubic root of 66952656 is about 406.0591208687.

The spelling of 66952656 in words is "sixty-six million, nine hundred fifty-two thousand, six hundred fifty-six".