66974292 has 144 divisors (see below), whose sum is σ = 217107072. Its totient is φ = 16899840.

The previous prime is 66974273. The next prime is 66974293. The reversal of 66974292 is 29247966.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66974293) 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 47 ways as a sum of consecutive naturals, for example, 102238 + ... + 102890.

It is an arithmetic number, because the mean of its divisors is an integer number (1507688).

Almost surely, 2^66974292 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 66974292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108553536).

66974292 is an abundant number, since it is smaller than the sum of its proper divisors (150132780).

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

66974292 is a wasteful number, since it uses less digits than its factorization.

66974292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 66974292 is about 8183.7822551678. The cubic root of 66974292 is about 406.1028559968.

The spelling of 66974292 in words is "sixty-six million, nine hundred seventy-four thousand, two hundred ninety-two".