66982320 has 120 divisors (see below), whose sum is σ = 232282752. Its totient is φ = 17280000.

The previous prime is 66982309. The next prime is 66982327. The reversal of 66982320 is 2328966.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66982327) 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, 20820 + ... + 23820.

Almost surely, 2^66982320 is an apocalyptic number.

66982320 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 66982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116141376).

66982320 is an abundant number, since it is smaller than the sum of its proper divisors (165300432).

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

66982320 is a wasteful number, since it uses less digits than its factorization.

66982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66982320 is about 8184.2727227286. The cubic root of 66982320 is about 406.1190814438.

The spelling of 66982320 in words is "sixty-six million, nine hundred eighty-two thousand, three hundred twenty".