64310400 has 576 divisors, whose sum is σ = 295963200. Its totient is φ = 12902400.

The previous prime is 64310353. The next prime is 64310417. The reversal of 64310400 is 401346.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217586 + ... + 2217614.

It is an arithmetic number, because the mean of its divisors is an integer number (513825).

Almost surely, 2^64310400 is an apocalyptic number.

64310400 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 64310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

64310400 is an abundant number, since it is smaller than the sum of its proper divisors (231652800).

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

64310400 is a wasteful number, since it uses less digits than its factorization.

64310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64310400 is about 8019.3765343697. The cubic root of 64310400 is about 400.6456240300.

Adding to 64310400 its reverse (401346), we get a palindrome (64711746).

The spelling of 64310400 in words is "sixty-four million, three hundred ten thousand, four hundred".