64871200 has 72 divisors (see below), whose sum is σ = 159833520. Its totient is φ = 25708800.

The previous prime is 64871171. The next prime is 64871203. The reversal of 64871200 is 217846.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64871203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104491 + ... + 105109.

It is an arithmetic number, because the mean of its divisors is an integer number (2219910).

Almost surely, 2^64871200 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 64871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916760).

64871200 is an abundant number, since it is smaller than the sum of its proper divisors (94962320).

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

64871200 is a wasteful number, since it uses less digits than its factorization.

64871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 64871200 is about 8054.2659504141. The cubic root of 64871200 is about 401.8068261593.

The spelling of 64871200 in words is "sixty-four million, eight hundred seventy-one thousand, two hundred".