64225200 has 240 divisors, whose sum is σ = 232485120. Its totient is φ = 15037440.

The previous prime is 64225199. The next prime is 64225207. The reversal of 64225200 is 252246.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64225207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358711 + ... + 358889.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^64225200 is an apocalyptic number.

64225200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

64225200 is an abundant number, since it is smaller than the sum of its proper divisors (168259920).

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

64225200 is a wasteful number, since it uses less digits than its factorization.

64225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 64225200 is about 8014.0626401345. The cubic root of 64225200 is about 400.4686174465.

Adding to 64225200 its reverse (252246), we get a palindrome (64477446).

The spelling of 64225200 in words is "sixty-four million, two hundred twenty-five thousand, two hundred".