66662688 has 48 divisors (see below), whose sum is σ = 175434336. Its totient is φ = 22164480.

The previous prime is 66662683. The next prime is 66662699. The reversal of 66662688 is 88626666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (66662683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56343 + ... + 57513.

It is an arithmetic number, because the mean of its divisors is an integer number (3654882).

Almost surely, 2^66662688 is an apocalyptic number.

It is an amenable number.

66662688 is an abundant number, since it is smaller than the sum of its proper divisors (108771648).

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

66662688 is a wasteful number, since it uses less digits than its factorization.

66662688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1769 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 66662688 is about 8164.7221630623. The cubic root of 66662688 is about 405.4720665263.

The spelling of 66662688 in words is "sixty-six million, six hundred sixty-two thousand, six hundred eighty-eight".