66573080 has 64 divisors (see below), whose sum is σ = 173586240. Its totient is φ = 22505472.

The previous prime is 66573049. The next prime is 66573083. The reversal of 66573080 is 8037566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 66573080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66573083) 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, 18812 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (2712285).

Almost surely, 2^66573080 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 66573080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86793120).

66573080 is an abundant number, since it is smaller than the sum of its proper divisors (107013160).

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

66573080 is a wasteful number, since it uses less digits than its factorization.

66573080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 66573080 is about 8159.2328070720. The cubic root of 66573080 is about 405.2903065141.

The spelling of 66573080 in words is "sixty-six million, five hundred seventy-three thousand, eighty".