64863200 has 72 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 25625600.

The previous prime is 64863181. The next prime is 64863241. The reversal of 64863200 is 236846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70745 + ... + 71655.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^64863200 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 64863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

64863200 is an abundant number, since it is smaller than the sum of its proper divisors (95439040).

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

64863200 is a wasteful number, since it uses less digits than its factorization.

64863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 64863200 is about 8053.7693038726. The cubic root of 64863200 is about 401.7903083684.

The spelling of 64863200 in words is "sixty-four million, eight hundred sixty-three thousand, two hundred".