65982144 has 56 divisors (see below), whose sum is σ = 175217328. Its totient is φ = 21913600.

The previous prime is 65982131. The next prime is 65982187. The reversal of 65982144 is 44128956.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76564 + ... + 77420.

Almost surely, 2^65982144 is an apocalyptic number.

65982144 is a gapful number since it is divisible by the number (64) 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 65982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87608664).

65982144 is an abundant number, since it is smaller than the sum of its proper divisors (109235184).

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

65982144 is a wasteful number, since it uses less digits than its factorization.

65982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 65982144 is about 8122.9393694647. The cubic root of 65982144 is about 404.0875541378.

The spelling of 65982144 in words is "sixty-five million, nine hundred eighty-two thousand, one hundred forty-four".