66054792 has 64 divisors (see below), whose sum is σ = 184075200. Its totient is φ = 19630080.

The previous prime is 66054757. The next prime is 66054797. The reversal of 66054792 is 29745066.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66054792.

It is not an unprimeable number, because it can be changed into a prime (66054797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (2876175).

Almost surely, 2^66054792 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 66054792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92037600).

66054792 is an abundant number, since it is smaller than the sum of its proper divisors (118020408).

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

66054792 is a wasteful number, since it uses less digits than its factorization.

66054792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 66054792 is about 8127.4099195254. The cubic root of 66054792 is about 404.2358032624.

The spelling of 66054792 in words is "sixty-six million, fifty-four thousand, seven hundred ninety-two".