64680560 has 80 divisors (see below), whose sum is σ = 180940800. Its totient is φ = 21005568.

The previous prime is 64680559. The next prime is 64680589. The reversal of 64680560 is 6508646.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 64680560.

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, 7601 + ... + 13679.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^64680560 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 64680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

64680560 is an abundant number, since it is smaller than the sum of its proper divisors (116260240).

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

64680560 is a wasteful number, since it uses less digits than its factorization.

64680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 64680560 is about 8042.4225206091. The cubic root of 64680560 is about 401.4128371857.

The spelling of 64680560 in words is "sixty-four million, six hundred eighty thousand, five hundred sixty".