66315624 has 64 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 20028096.

The previous prime is 66315619. The next prime is 66315629. The reversal of 66315624 is 42651366.

It is an interprime number because it is at equal distance from previous prime (66315619) and next prime (66315629).

It is not an unprimeable number, because it can be changed into a prime (66315629) 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, 7327 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^66315624 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 66315624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

66315624 is an abundant number, since it is smaller than the sum of its proper divisors (115815576).

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

66315624 is a wasteful number, since it uses less digits than its factorization.

66315624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6370 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 66315624 is about 8143.4405505290. The cubic root of 66315624 is about 404.7671760425.

The spelling of 66315624 in words is "sixty-six million, three hundred fifteen thousand, six hundred twenty-four".