1068800 has 54 divisors (see below), whose sum is σ = 2661288. Its totient is φ = 424960.

The previous prime is 1068779. The next prime is 1068803. The reversal of 1068800 is 88601.

It is a super-2 number, since 2×1068800² = 2284666880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6317 + ... + 6483.

2^1068800 is an apocalyptic number.

1068800 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 1068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330644).

1068800 is an abundant number, since it is smaller than the sum of its proper divisors (1592488).

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

1068800 is an equidigital number, since it uses as much as digits as its factorization.

1068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1068800 is about 1033.8278386656. The cubic root of 1068800 is about 102.2426620193.

The spelling of 1068800 in words is "one million, sixty-eight thousand, eight hundred".