66057684 has 96 divisors (see below), whose sum is σ = 196224000. Its totient is φ = 17146080.

The previous prime is 66057671. The next prime is 66057689. The reversal of 66057684 is 48675066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66057689) 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 31 ways as a sum of consecutive naturals, for example, 44547 + ... + 46005.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^66057684 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 66057684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98112000).

66057684 is an abundant number, since it is smaller than the sum of its proper divisors (130166316).

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

66057684 is a wasteful number, since it uses less digits than its factorization.

66057684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 66057684 is about 8127.5878340378. The cubic root of 66057684 is about 404.2417025714.

The spelling of 66057684 in words is "sixty-six million, fifty-seven thousand, six hundred eighty-four".