1068400000 has 96 divisors (see below), whose sum is σ = 2661392160. Its totient is φ = 427200000.

The previous prime is 1068399989. The next prime is 1068400013. The reversal of 1068400000 is 48601.

It is a super-2 number, since 2×1068400000² = 2282957120000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398665 + ... + 401335.

It is an arithmetic number, because the mean of its divisors is an integer number (27722835).

Almost surely, 2^1068400000 is an apocalyptic number.

1068400000 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 1068400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330696080).

1068400000 is an abundant number, since it is smaller than the sum of its proper divisors (1592992160).

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

1068400000 is an frugal number, since it uses more digits than its factorization.

1068400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1068400000 is about 32686.3886044329. The cubic root of 1068400000 is about 1022.2990560465.

Adding to 1068400000 its reverse (48601), we get a palindrome (1068448601).

The spelling of 1068400000 in words is "one billion, sixty-eight million, four hundred thousand".