64560672 has 96 divisors (see below), whose sum is σ = 205450560. Its totient is φ = 19560960.

The previous prime is 64560607. The next prime is 64560703. The reversal of 64560672 is 27606546.

64560672 is a `hidden beast` number, since 6 + 45 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 6108 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (2140110).

Almost surely, 2^64560672 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 64560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102725280).

64560672 is an abundant number, since it is smaller than the sum of its proper divisors (140889888).

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

64560672 is a wasteful number, since it uses less digits than its factorization.

64560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 64560672 is about 8034.9655879786. The cubic root of 64560672 is about 401.1646722219.

The spelling of 64560672 in words is "sixty-four million, five hundred sixty thousand, six hundred seventy-two".