64672160 has 144 divisors (see below), whose sum is σ = 181762056. Its totient is φ = 21676032.

The previous prime is 64672151. The next prime is 64672183. The reversal of 64672160 is 6127646.

64672160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34245904 + 30426256 = 5852^2 + 5516^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572264 + ... + 572376.

Almost surely, 2^64672160 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 64672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881028).

64672160 is an abundant number, since it is smaller than the sum of its proper divisors (117089896).

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

64672160 is a wasteful number, since it uses less digits than its factorization.

64672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 64672160 is about 8041.9002729454. The cubic root of 64672160 is about 401.3954594047.

The spelling of 64672160 in words is "sixty-four million, six hundred seventy-two thousand, one hundred sixty".