66125160 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 17630784.

The previous prime is 66125141. The next prime is 66125173. The reversal of 66125160 is 6152166.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6319 + ... + 13121.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^66125160 is an apocalyptic number.

66125160 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 66125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

66125160 is an abundant number, since it is smaller than the sum of its proper divisors (156773880).

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

66125160 is a wasteful number, since it uses less digits than its factorization.

66125160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66125160 is about 8131.7378216467. The cubic root of 66125160 is about 404.3792961074.

The spelling of 66125160 in words is "sixty-six million, one hundred twenty-five thousand, one hundred sixty".