10368400 has 135 divisors (see below), whose sum is σ = 30291681. Its totient is φ = 3400320.

The previous prime is 10368389. The next prime is 10368401. The reversal of 10368400 is 486301.

The square root of 10368400 is 3220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 6635776 = 1932^2 + 2576^2 .

It is not an unprimeable number, because it can be changed into a prime (10368401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 450789 + ... + 450811.

Almost surely, 2^10368400 is an apocalyptic number.

10368400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10368400 is the 3220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10368400

10368400 is an abundant number, since it is smaller than the sum of its proper divisors (19923281).

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

10368400 is a wasteful number, since it uses less digits than its factorization.

10368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 10368400 is about 218.0572753022.

Multiplying 10368400 by its product of nonzero digits (576), we get a square (5972198400 = 77280²).

The spelling of 10368400 in words is "ten million, three hundred sixty-eight thousand, four hundred".