65984112 has 80 divisors (see below), whose sum is σ = 199392000. Its totient is φ = 20834496.

The previous prime is 65984101. The next prime is 65984137. The reversal of 65984112 is 21148956.

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

It is a congruent number.

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, 4189 + ... + 12227.

It is an arithmetic number, because the mean of its divisors is an integer number (2492400).

Almost surely, 2^65984112 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 65984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99696000).

65984112 is an abundant number, since it is smaller than the sum of its proper divisors (133407888).

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

65984112 is a wasteful number, since it uses less digits than its factorization.

65984112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8063 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 65984112 is about 8123.0605069764. The cubic root of 65984112 is about 404.0915715702.

The spelling of 65984112 in words is "sixty-five million, nine hundred eighty-four thousand, one hundred twelve".