65833664 has 56 divisors (see below), whose sum is σ = 142908528. Its totient is φ = 29905920.

The previous prime is 65833633. The next prime is 65833667. The reversal of 65833664 is 46633856.

It is not an unprimeable number, because it can be changed into a prime (65833667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55154 + ... + 56334.

It is an arithmetic number, because the mean of its divisors is an integer number (2551938).

Almost surely, 2^65833664 is an apocalyptic number.

65833664 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 65833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71454264).

65833664 is an abundant number, since it is smaller than the sum of its proper divisors (77074864).

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

65833664 is a wasteful number, since it uses less digits than its factorization.

65833664 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 311040, while the sum is 41.

The square root of 65833664 is about 8113.7946732709. The cubic root of 65833664 is about 403.7842196392.

The spelling of 65833664 in words is "sixty-five million, eight hundred thirty-three thousand, six hundred sixty-four".