66964120 has 32 divisors (see below), whose sum is σ = 150970320. Its totient is φ = 26732160.

The previous prime is 66964091. The next prime is 66964127. The reversal of 66964120 is 2146966.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66964127) 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, 23155 + ... + 25885.

Almost surely, 2^66964120 is an apocalyptic number.

It is an amenable number.

66964120 is an abundant number, since it is smaller than the sum of its proper divisors (84006200).

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

66964120 is a wasteful number, since it uses less digits than its factorization.

66964120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 66964120 is about 8183.1607585333. The cubic root of 66964120 is about 406.0822954340.

It can be divided in two parts, 6696 and 4120, that added together give a square (10816 = 104²).

The spelling of 66964120 in words is "sixty-six million, nine hundred sixty-four thousand, one hundred twenty".