1068267200 has 672 divisors, whose sum is σ = 3809756160. Its totient is φ = 283852800.

The previous prime is 1068267173. The next prime is 1068267217. The reversal of 1068267200 is 27628601.

It is a super-2 number, since 2×1068267200² = 2282389621191680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36836786 + ... + 36836814.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^1068267200 is an apocalyptic number.

1068267200 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 1068267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904878080).

1068267200 is an abundant number, since it is smaller than the sum of its proper divisors (2741488960).

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

1068267200 is a wasteful number, since it uses less digits than its factorization.

1068267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1068267200 is about 32684.3571146810. The cubic root of 1068267200 is about 1022.2566977101.

The spelling of 1068267200 in words is "one billion, sixty-eight million, two hundred sixty-seven thousand, two hundred".