1068576000 has 144 divisors (see below), whose sum is σ = 3549594048. Its totient is φ = 284928000.

The previous prime is 1068575969. The next prime is 1068576001. The reversal of 1068576000 is 6758601.

It is a super-2 number, since 2×1068576000² = 2283709335552000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068576001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90435 + ... + 101565.

Almost surely, 2^1068576000 is an apocalyptic number.

1068576000 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 1068576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774797024).

1068576000 is an abundant number, since it is smaller than the sum of its proper divisors (2481018048).

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

1068576000 is an equidigital number, since it uses as much as digits as its factorization.

1068576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1068576000 is about 32689.0807457169. The cubic root of 1068576000 is about 1022.3551881927.

The spelling of 1068576000 in words is "one billion, sixty-eight million, five hundred seventy-six thousand".