65982880 has 96 divisors (see below), whose sum is σ = 164602368. Its totient is φ = 24960000.

The previous prime is 65982871. The next prime is 65982901. The reversal of 65982880 is 8828956.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 65982880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262755 + ... + 263005.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 2^65982880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301184).

65982880 is an abundant number, since it is smaller than the sum of its proper divisors (98619488).

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

65982880 is a wasteful number, since it uses less digits than its factorization.

65982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 65982880 is about 8122.9846731359. The cubic root of 65982880 is about 404.0890566015.

The spelling of 65982880 in words is "sixty-five million, nine hundred eighty-two thousand, eight hundred eighty".