1068419400 has 384 divisors, whose sum is σ = 3816720000. Its totient is φ = 245514240.

The previous prime is 1068419399. The next prime is 1068419447. The reversal of 1068419400 is 49148601.

It is a super-2 number, since 2×1068419400² = 2283040028592720000, which contains 22 as substring.

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, 7170526 + ... + 7170674.

It is an arithmetic number, because the mean of its divisors is an integer number (9939375).

Almost surely, 2^1068419400 is an apocalyptic number.

1068419400 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 1068419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908360000).

1068419400 is an abundant number, since it is smaller than the sum of its proper divisors (2748300600).

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

1068419400 is a wasteful number, since it uses less digits than its factorization.

1068419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1068419400 is about 32686.6853626978. The cubic root of 1068419400 is about 1022.3052436422.

The spelling of 1068419400 in words is "one billion, sixty-eight million, four hundred nineteen thousand, four hundred".