66574880 has 96 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 25039872.

The previous prime is 66574861. The next prime is 66574897. The reversal of 66574880 is 8847566.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290606 + ... + 290834.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^66574880 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 66574880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

66574880 is an abundant number, since it is smaller than the sum of its proper divisors (100349920).

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

66574880 is a wasteful number, since it uses less digits than its factorization.

66574880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 66574880 is about 8159.3431108147. The cubic root of 66574880 is about 405.2939592216.

The spelling of 66574880 in words is "sixty-six million, five hundred seventy-four thousand, eight hundred eighty".