65259984 has 80 divisors (see below), whose sum is σ = 178956800. Its totient is φ = 20435328.

The previous prime is 65259983. The next prime is 65259989. The reversal of 65259984 is 48995256.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65259983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148437 + ... + 148875.

It is an arithmetic number, because the mean of its divisors is an integer number (2236960).

Almost surely, 2^65259984 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 65259984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478400).

65259984 is an abundant number, since it is smaller than the sum of its proper divisors (113696816).

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

65259984 is a wasteful number, since it uses less digits than its factorization.

65259984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 65259984 is about 8078.3651811490. The cubic root of 65259984 is about 402.6079265123.

The spelling of 65259984 in words is "sixty-five million, two hundred fifty-nine thousand, nine hundred eighty-four".