64836800 has 126 divisors (see below), whose sum is σ = 185810652. Its totient is φ = 22202880.

The previous prime is 64836791. The next prime is 64836803. The reversal of 64836800 is 863846.

64836800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (64836803) 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 17 ways as a sum of consecutive naturals, for example, 77987 + ... + 78813.

Almost surely, 2^64836800 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 64836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92905326).

64836800 is an abundant number, since it is smaller than the sum of its proper divisors (120973852).

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

64836800 is a wasteful number, since it uses less digits than its factorization.

64836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 64836800 is about 8052.1301529471. The cubic root of 64836800 is about 401.7357900203.

The spelling of 64836800 in words is "sixty-four million, eight hundred thirty-six thousand, eight hundred".