64854400 has 96 divisors (see below), whose sum is σ = 172645200. Its totient is φ = 23930880.

The previous prime is 64854397. The next prime is 64854401. The reversal of 64854400 is 445846.

64854400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64854401) 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 11 ways as a sum of consecutive naturals, for example, 40821 + ... + 42379.

Almost surely, 2^64854400 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 64854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86322600).

64854400 is an abundant number, since it is smaller than the sum of its proper divisors (107790800).

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

64854400 is a wasteful number, since it uses less digits than its factorization.

64854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 64854400 is about 8053.2229573010. Note that the first 3 decimals coincide. The cubic root of 64854400 is about 401.7721372296.

The spelling of 64854400 in words is "sixty-four million, eight hundred fifty-four thousand, four hundred".