64851200 has 54 divisors (see below), whose sum is σ = 160532694. Its totient is φ = 25937920.

The previous prime is 64851167. The next prime is 64851203. The reversal of 64851200 is 215846.

It can be written as a sum of positive squares in 3 ways, for example, as 10445824 + 54405376 = 3232^2 + 7376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64851200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64851203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1334 + ... + 11466.

Almost surely, 2^64851200 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 64851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80266347).

64851200 is an abundant number, since it is smaller than the sum of its proper divisors (95681494).

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

64851200 is a wasteful number, since it uses less digits than its factorization.

64851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 64851200 is about 8053.0242766305. The cubic root of 64851200 is about 401.7655291353.

It can be divided in two parts, 648 and 51200, that multiplied together give a square (33177600 = 5760²).

The spelling of 64851200 in words is "sixty-four million, eight hundred fifty-one thousand, two hundred".