10368800 has 72 divisors (see below), whose sum is σ = 27287316. Its totient is φ = 3824640.

The previous prime is 10368797. The next prime is 10368803. The reversal of 10368800 is 886301.

It is an interprime number because it is at equal distance from previous prime (10368797) and next prime (10368803).

It can be written as a sum of positive squares in 6 ways, for example, as 3794704 + 6574096 = 1948^2 + 2564^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10368800.

It is not an unprimeable number, because it can be changed into a prime (10368803) 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 11 ways as a sum of consecutive naturals, for example, 9902 + ... + 10898.

Almost surely, 2^10368800 is an apocalyptic number.

10368800 is a gapful number since it is divisible by the number (10) 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 10368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643658).

10368800 is an abundant number, since it is smaller than the sum of its proper divisors (16918516).

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

10368800 is a wasteful number, since it uses less digits than its factorization.

10368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10368800 is about 3220.0621112022. The cubic root of 10368800 is about 218.0600793925.

It can be divided in two parts, 10368 and 800, that multiplied together give a square (8294400 = 2880²).

The spelling of 10368800 in words is "ten million, three hundred sixty-eight thousand, eight hundred".