64501200 has 360 divisors, whose sum is σ = 251858880. Its totient is φ = 15206400.

The previous prime is 64501187. The next prime is 64501201. The reversal of 64501200 is 210546.

It is a happy number.

64501200 is a `hidden beast` number, since 645 + 0 + 1 + 20 + 0 = 666.

64501200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64501201) 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 71 ways as a sum of consecutive naturals, for example, 1573180 + ... + 1573220.

It is an arithmetic number, because the mean of its divisors is an integer number (699608).

Almost surely, 2^64501200 is an apocalyptic number.

64501200 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 64501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

64501200 is an abundant number, since it is smaller than the sum of its proper divisors (187357680).

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

64501200 is a wasteful number, since it uses less digits than its factorization.

64501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 64501200 is about 8031.2639104938. The cubic root of 64501200 is about 401.0414527538.

Adding to 64501200 its reverse (210546), we get a palindrome (64711746).

It can be divided in two parts, 64 and 501200, that added together give a square (501264 = 708²).

The spelling of 64501200 in words is "sixty-four million, five hundred one thousand, two hundred".