1068022400 has 48 divisors (see below), whose sum is σ = 2638356990. Its totient is φ = 427207680.

The previous prime is 1068022393. The next prime is 1068022421. The reversal of 1068022400 is 42208601.

1068022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 390773824 + 677248576 = 19768^2 + 26024^2 .

It is a super-2 number, since 2×1068022400² = 2281343693803520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 163679 + ... + 170078.

Almost surely, 2^1068022400 is an apocalyptic number.

1068022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068022400 is an abundant number, since it is smaller than the sum of its proper divisors (1570334590).

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

1068022400 is an equidigital number, since it uses as much as digits as its factorization.

1068022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333781 (or 333764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1068022400 is about 32680.6119893738. The cubic root of 1068022400 is about 1022.1786062746.

The spelling of 1068022400 in words is "one billion, sixty-eight million, twenty-two thousand, four hundred".