1068776600 has 144 divisors (see below), whose sum is σ = 2665978920. Its totient is φ = 398361600.

The previous prime is 1068776591. The next prime is 1068776603. The reversal of 1068776600 is 66778601.

It is a super-2 number, since 2×1068776600² = 2284566841415120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068776603) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8158535 + ... + 8158665.

Almost surely, 2^1068776600 is an apocalyptic number.

1068776600 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 1068776600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332989460).

1068776600 is an abundant number, since it is smaller than the sum of its proper divisors (1597202320).

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

1068776600 is a wasteful number, since it uses less digits than its factorization.

1068776600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 1068776600 is about 32692.1489045918. The cubic root of 1068776600 is about 1022.4191585666.

The spelling of 1068776600 in words is "one billion, sixty-eight million, seven hundred seventy-six thousand, six hundred".