66962028 has 72 divisors (see below), whose sum is σ = 185697792. Its totient is φ = 18717216.

The previous prime is 66962009. The next prime is 66962029. The reversal of 66962028 is 82026966.

It is not an unprimeable number, because it can be changed into a prime (66962029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26425 + ... + 28847.

It is an arithmetic number, because the mean of its divisors is an integer number (2579136).

Almost surely, 2^66962028 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 66962028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92848896).

66962028 is an abundant number, since it is smaller than the sum of its proper divisors (118735764).

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

66962028 is a wasteful number, since it uses less digits than its factorization.

66962028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 66962028 is about 8183.0329340655. The cubic root of 66962028 is about 406.0780666370.

The spelling of 66962028 in words is "sixty-six million, nine hundred sixty-two thousand, twenty-eight".