66968460 has 72 divisors (see below), whose sum is σ = 218771280. Its totient is φ = 16483968.

The previous prime is 66968459. The next prime is 66968471. The reversal of 66968460 is 6486966.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11970 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 2^66968460 is an apocalyptic number.

66968460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66968460 is an abundant number, since it is smaller than the sum of its proper divisors (151802820).

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

66968460 is a wasteful number, since it uses less digits than its factorization.

66968460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66968460 is about 8183.4259329452. The cubic root of 66968460 is about 406.0910680877.

The spelling of 66968460 in words is "sixty-six million, nine hundred sixty-eight thousand, four hundred sixty".