64116400 has 60 divisors (see below), whose sum is σ = 156066400. Its totient is φ = 25309440.

The previous prime is 64116383. The next prime is 64116427. The reversal of 64116400 is 461146.

64116400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64116400² = 8221825497920000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 30586 + ... + 32614.

Almost surely, 2^64116400 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 64116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78033200).

64116400 is an abundant number, since it is smaller than the sum of its proper divisors (91950000).

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

64116400 is a wasteful number, since it uses less digits than its factorization.

64116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 64116400 is about 8007.2716951531. The cubic root of 64116400 is about 400.2423531327.

Adding to 64116400 its reverse (461146), we get a palindrome (64577546).

It can be divided in two parts, 64116 and 400, that added together give a square (64516 = 254²).

The spelling of 64116400 in words is "sixty-four million, one hundred sixteen thousand, four hundred".