66228624 has 240 divisors, whose sum is σ = 240123520. Its totient is φ = 17107200.

The previous prime is 66228611. The next prime is 66228671. The reversal of 66228624 is 42682266.

66228624 is a `hidden beast` number, since 6 + 6 + 2 + 28 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365814 + ... + 365994.

Almost surely, 2^66228624 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 66228624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120061760).

66228624 is an abundant number, since it is smaller than the sum of its proper divisors (173894896).

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

66228624 is a wasteful number, since it uses less digits than its factorization.

66228624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 66228624 is about 8138.0970748695. The cubic root of 66228624 is about 404.5900928107.

The spelling of 66228624 in words is "sixty-six million, two hundred twenty-eight thousand, six hundred twenty-four".