65368400 has 60 divisors (see below), whose sum is σ = 166302972. Its totient is φ = 24606720.

The previous prime is 65368357. The next prime is 65368403. The reversal of 65368400 is 486356.

65368400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8456464 + 56911936 = 2908^2 + 7544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65368403) 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, 1994 + ... + 11606.

Almost surely, 2^65368400 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 65368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83151486).

65368400 is an abundant number, since it is smaller than the sum of its proper divisors (100934572).

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

65368400 is a wasteful number, since it uses less digits than its factorization.

65368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 65368400 is about 8085.0726651033. The cubic root of 65368400 is about 402.8307531677.

The spelling of 65368400 in words is "sixty-five million, three hundred sixty-eight thousand, four hundred".