66380160 has 256 divisors, whose sum is σ = 264384000. Its totient is φ = 13762560.

The previous prime is 66380147. The next prime is 66380173. The reversal of 66380160 is 6108366.

It is an interprime number because it is at equal distance from previous prime (66380147) and next prime (66380173).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147616 + ... + 148064.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^66380160 is an apocalyptic number.

66380160 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 66380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

66380160 is an abundant number, since it is smaller than the sum of its proper divisors (198003840).

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

66380160 is a wasteful number, since it uses less digits than its factorization.

66380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66380160 is about 8147.4020399143. The cubic root of 66380160 is about 404.8984351325.

The spelling of 66380160 in words is "sixty-six million, three hundred eighty thousand, one hundred sixty".