64856400 has 180 divisors, whose sum is σ = 241895232. Its totient is φ = 14810880.

The previous prime is 64856387. The next prime is 64856413. The reversal of 64856400 is 465846.

It is a happy number.

64856400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64856387) and next prime (64856413).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 58249 + ... + 59351.

Almost surely, 2^64856400 is an apocalyptic number.

64856400 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 64856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120947616).

64856400 is an abundant number, since it is smaller than the sum of its proper divisors (177038832).

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

64856400 is a wasteful number, since it uses less digits than its factorization.

64856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 64856400 is about 8053.3471302310. The cubic root of 64856400 is about 401.7762671782.

It can be divided in two parts, 64856 and 400, that added together give a palindrome (65256).

The spelling of 64856400 in words is "sixty-four million, eight hundred fifty-six thousand, four hundred".