64403200 has 108 divisors (see below), whose sum is σ = 165380040. Its totient is φ = 24801280.

The previous prime is 64403189. The next prime is 64403201. The reversal of 64403200 is 230446.

64403200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64403201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 185427 + ... + 185773.

Almost surely, 2^64403200 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 64403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82690020).

64403200 is an abundant number, since it is smaller than the sum of its proper divisors (100976840).

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

64403200 is a wasteful number, since it uses less digits than its factorization.

64403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 64403200 is about 8025.1604345334. The cubic root of 64403200 is about 400.8382421482.

Adding to 64403200 its reverse (230446), we get a palindrome (64633646).

The spelling of 64403200 in words is "sixty-four million, four hundred three thousand, two hundred".