64680 has 96 divisors (see below), whose sum is σ = 246240. Its totient is φ = 13440.

The previous prime is 64679. The next prime is 64693. The reversal of 64680 is 8646.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 64680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5875 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2⁶⁴⁶⁸⁰ is an apocalyptic number.

64680 is a gapful number since it is divisible by the number (60) 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 64680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

64680 is an abundant number, since it is smaller than the sum of its proper divisors (181560).

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

64680 is a wasteful number, since it uses less digits than its factorization.

64680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64680 is about 254.3226297442. The cubic root of 64680 is about 40.1411678714.

The spelling of 64680 in words is "sixty-four thousand, six hundred eighty".