66908160 has 312 divisors, whose sum is σ = 261456720. Its totient is φ = 16220160.

The previous prime is 66908131. The next prime is 66908161. The reversal of 66908160 is 6180966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66908161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6082555 + ... + 6082565.

Almost surely, 2^66908160 is an apocalyptic number.

66908160 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 66908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130728360).

66908160 is an abundant number, since it is smaller than the sum of its proper divisors (194548560).

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

66908160 is a wasteful number, since it uses less digits than its factorization.

66908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 66908160 is about 8179.7408271901. The cubic root of 66908160 is about 405.9691467895.

The spelling of 66908160 in words is "sixty-six million, nine hundred eight thousand, one hundred sixty".