66075960 has 64 divisors (see below), whose sum is σ = 199296000. Its totient is φ = 17525376.

The previous prime is 66075943. The next prime is 66076019. The reversal of 66075960 is 6957066.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22497 + ... + 25263.

It is an arithmetic number, because the mean of its divisors is an integer number (3114000).

Almost surely, 2^66075960 is an apocalyptic number.

66075960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99648000).

66075960 is an abundant number, since it is smaller than the sum of its proper divisors (133220040).

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

66075960 is a wasteful number, since it uses less digits than its factorization.

66075960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 66075960 is about 8128.7120751076. The cubic root of 66075960 is about 404.2789792851.

The spelling of 66075960 in words is "sixty-six million, seventy-five thousand, nine hundred sixty".