1068043200 has 504 divisors, whose sum is σ = 4308652800. Its totient is φ = 230307840.

The previous prime is 1068043199. The next prime is 1068043201. The reversal of 1068043200 is 23408601.

It is a happy number.

1068043200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1068043199) and next prime (1068043201).

It is a super-2 number, since 2×1068043200² = 2281432554132480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068043201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468681 + ... + 4468919.

Almost surely, 2^1068043200 is an apocalyptic number.

1068043200 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 1068043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154326400).

1068043200 is an abundant number, since it is smaller than the sum of its proper divisors (3240609600).

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

1068043200 is a wasteful number, since it uses less digits than its factorization.

1068043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1068043200 is about 32680.9302193190. The cubic root of 1068043200 is about 1022.1852419584.

The spelling of 1068043200 in words is "one billion, sixty-eight million, forty-three thousand, two hundred".