1068400080 has 240 divisors, whose sum is σ = 3936426624. Its totient is φ = 257541120.

The previous prime is 1068400063. The next prime is 1068400087. The reversal of 1068400080 is 800048601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1068400080² = 2282957461888012800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068400087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193597 + ... + 2194083.

Almost surely, 2^1068400080 is an apocalyptic number.

1068400080 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 1068400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968213312).

1068400080 is an abundant number, since it is smaller than the sum of its proper divisors (2868026544).

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

1068400080 is a wasteful number, since it uses less digits than its factorization.

1068400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1068400080 is about 32686.3898281838. The cubic root of 1068400080 is about 1022.2990815625.

Adding to 1068400080 its reverse (800048601), we get a palindrome (1868448681).

The spelling of 1068400080 in words is "one billion, sixty-eight million, four hundred thousand, eighty".