1368000 has 168 divisors, whose sum is σ = 5151120. Its totient is φ = 345600.

The previous prime is 1367987. The next prime is 1368013. The reversal of 1368000 is 8631.

It is an interprime number because it is at equal distance from previous prime (1367987) and next prime (1368013).

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 23 ways as a sum of consecutive naturals, for example, 71991 + ... + 72009.

2^1368000 is an apocalyptic number.

1368000 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 1368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575560).

1368000 is an abundant number, since it is smaller than the sum of its proper divisors (3783120).

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

1368000 is a wasteful number, since it uses less digits than its factorization.

1368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1368000 is about 1169.6153213771. The cubic root of 1368000 is about 111.0099820582.

The spelling of 1368000 in words is "one million, three hundred sixty-eight thousand".