64671200 has 72 divisors (see below), whose sum is σ = 172254600. Its totient is φ = 23513600.

The previous prime is 64671197. The next prime is 64671241. The reversal of 64671200 is 217646.

It is a self number, because there is not a number n which added to its sum of digits gives 64671200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5126 + ... + 12474.

It is an arithmetic number, because the mean of its divisors is an integer number (2392425).

Almost surely, 2^64671200 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 64671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86127300).

64671200 is an abundant number, since it is smaller than the sum of its proper divisors (107583400).

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

64671200 is a wasteful number, since it uses less digits than its factorization.

64671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 64671200 is about 8041.8405853387. The cubic root of 64671200 is about 401.3934732768.

Adding to 64671200 its reverse (217646), we get a palindrome (64888846).

It can be divided in two parts, 6467 and 1200, that added together give a palindrome (7667).

The spelling of 64671200 in words is "sixty-four million, six hundred seventy-one thousand, two hundred".