66812160 has 144 divisors (see below), whose sum is σ = 216631296. Its totient is φ = 17547264.

The previous prime is 66812149. The next prime is 66812167. The reversal of 66812160 is 6121866.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66812167) 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, 487612 + ... + 487748.

It is an arithmetic number, because the mean of its divisors is an integer number (1504384).

Almost surely, 2^66812160 is an apocalyptic number.

66812160 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 66812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108315648).

66812160 is an abundant number, since it is smaller than the sum of its proper divisors (149819136).

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

66812160 is a wasteful number, since it uses less digits than its factorization.

66812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 66812160 is about 8173.8705641819. The cubic root of 66812160 is about 405.7748919956.

The spelling of 66812160 in words is "sixty-six million, eight hundred twelve thousand, one hundred sixty".