1068068800 has 84 divisors (see below), whose sum is σ = 2654041936. Its totient is φ = 423014400.

The previous prime is 1068068791. The next prime is 1068068801. The reversal of 1068068800 is 88608601.

It is a super-2 number, since 2×1068068800² = 2281541923066880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068068801) 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, 161560 + ... + 168040.

Almost surely, 2^1068068800 is an apocalyptic number.

1068068800 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 1068068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327020968).

1068068800 is an abundant number, since it is smaller than the sum of its proper divisors (1585973136).

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

1068068800 is a wasteful number, since it uses less digits than its factorization.

1068068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1068068800 is about 32681.3218826901. The cubic root of 1068068800 is about 1022.1934088357.

The spelling of 1068068800 in words is "one billion, sixty-eight million, sixty-eight thousand, eight hundred".