66716600 has 96 divisors (see below), whose sum is σ = 165874800. Its totient is φ = 24883200.

The previous prime is 66716591. The next prime is 66716603. The reversal of 66716600 is 661766.

It is a super-2 number, since 2×66716600² = 8902209431120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66716603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368510 + ... + 368690.

Almost surely, 2^66716600 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 66716600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82937400).

66716600 is an abundant number, since it is smaller than the sum of its proper divisors (99158200).

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

66716600 is a wasteful number, since it uses less digits than its factorization.

66716600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 66716600 is about 8168.0230166179. The cubic root of 66716600 is about 405.5813426470.

The spelling of 66716600 in words is "sixty-six million, seven hundred sixteen thousand, six hundred".