64117200 has 240 divisors, whose sum is σ = 249091200. Its totient is φ = 13762560.

The previous prime is 64117187. The next prime is 64117201. The reversal of 64117200 is 271146.

64117200 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 (240).

It is a super-2 number, since 2×64117200² = 8222030671680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64117201) 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 47 ways as a sum of consecutive naturals, for example, 142576 + ... + 143024.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^64117200 is an apocalyptic number.

64117200 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 64117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

64117200 is an abundant number, since it is smaller than the sum of its proper divisors (184974000).

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

64117200 is a wasteful number, since it uses less digits than its factorization.

64117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 64117200 is about 8007.3216495905. The cubic root of 64117200 is about 400.2440177747.

Adding to 64117200 its reverse (271146), we get a palindrome (64388346).

The spelling of 64117200 in words is "sixty-four million, one hundred seventeen thousand, two hundred".