1013068800 has 198 divisors, whose sum is σ = 3628090518. Its totient is φ = 270090240.

The previous prime is 1013068799. The next prime is 1013068801. The reversal of 1013068800 is 88603101.

It is an interprime number because it is at equal distance from previous prime (1013068799) and next prime (1013068801).

It can be written as a sum of positive squares in 3 ways, for example, as 57517056 + 955551744 = 7584^2 + 30912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013068801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228202 + ... + 232598.

Almost surely, 2^1013068800 is an apocalyptic number.

1013068800 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 1013068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814045259).

1013068800 is an abundant number, since it is smaller than the sum of its proper divisors (2615021718).

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

1013068800 is a wasteful number, since it uses less digits than its factorization.

1013068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1013068800 is about 31828.7417281928. The cubic root of 1013068800 is about 1004.3374262002.

The spelling of 1013068800 in words is "one billion, thirteen million, sixty-eight thousand, eight hundred".