1368800 has 72 divisors (see below), whose sum is σ = 3515400. Its totient is φ = 519680.

The previous prime is 1368797. The next prime is 1368803. The reversal of 1368800 is 88631.

It is an interprime number because it is at equal distance from previous prime (1368797) and next prime (1368803).

It is a super-2 number, since 2×1368800² = 3747226880000, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1368800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368803) 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, 23171 + ... + 23229.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2^1368800 is an apocalyptic number.

1368800 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 1368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757700).

1368800 is an abundant number, since it is smaller than the sum of its proper divisors (2146600).

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

1368800 is a wasteful number, since it uses less digits than its factorization.

1368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

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

The square root of 1368800 is about 1169.9572641768. The cubic root of 1368800 is about 111.0316172141.

The spelling of 1368800 in words is "one million, three hundred sixty-eight thousand, eight hundred".