64338400 has 72 divisors (see below), whose sum is σ = 179519760. Its totient is φ = 22056960.

The previous prime is 64338377. The next prime is 64338401. The reversal of 64338400 is 483346.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64338401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 11344.

It is an arithmetic number, because the mean of its divisors is an integer number (2493330).

Almost surely, 2^64338400 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 64338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89759880).

64338400 is an abundant number, since it is smaller than the sum of its proper divisors (115181360).

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

64338400 is a wasteful number, since it uses less digits than its factorization.

64338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 64338400 is about 8021.1221160134. The cubic root of 64338400 is about 400.7037610747.

The spelling of 64338400 in words is "sixty-four million, three hundred thirty-eight thousand, four hundred".