66862224 has 240 divisors, whose sum is σ = 233985024. Its totient is φ = 17510400.

The previous prime is 66862223. The next prime is 66862231. The reversal of 66862224 is 42226866.

66862224 is a `hidden beast` number, since 6 + 6 + 8 + 622 + 24 = 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 not an unprimeable number, because it can be changed into a prime (66862223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349969 + ... + 350159.

Almost surely, 2^66862224 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 66862224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

66862224 is an abundant number, since it is smaller than the sum of its proper divisors (167122800).

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

66862224 is a wasteful number, since it uses less digits than its factorization.

66862224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

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

The square root of 66862224 is about 8176.9324321533. The cubic root of 66862224 is about 405.8762190704.

The spelling of 66862224 in words is "sixty-six million, eight hundred sixty-two thousand, two hundred twenty-four".