66957282 has 48 divisors (see below), whose sum is σ = 166600512. Its totient is φ = 19038240.

The previous prime is 66957229. The next prime is 66957287. The reversal of 66957282 is 28275966.

It is a super-2 number, since 2×66957282² = 8966555225655048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66957287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27432 + ... + 29772.

It is an arithmetic number, because the mean of its divisors is an integer number (3470844).

Almost surely, 2^66957282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66957282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83300256).

66957282 is an abundant number, since it is smaller than the sum of its proper divisors (99643230).

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

66957282 is a wasteful number, since it uses less digits than its factorization.

66957282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2580 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66957282 is about 8182.7429386484. The cubic root of 66957282 is about 406.0684726821.

The spelling of 66957282 in words is "sixty-six million, nine hundred fifty-seven thousand, two hundred eighty-two".