1070868800 has 84 divisors (see below), whose sum is σ = 2706372540. Its totient is φ = 416747520.

The previous prime is 1070868797. The next prime is 1070868803. The reversal of 1070868800 is 88680701.

It is an interprime number because it is at equal distance from previous prime (1070868797) and next prime (1070868803).

It can be written as a sum of positive squares in 6 ways, for example, as 111851776 + 959017024 = 10576^2 + 30968^2 .

It is a super-2 number, since 2×1070868800² = 2293519973626880000, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070868803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50156 + ... + 68244.

Almost surely, 2^1070868800 is an apocalyptic number.

1070868800 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 1070868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353186270).

1070868800 is an abundant number, since it is smaller than the sum of its proper divisors (1635503740).

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

1070868800 is a wasteful number, since it uses less digits than its factorization.

1070868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 1070868800 is about 32724.1317684671. The cubic root of 1070868800 is about 1023.0858744692.

The spelling of 1070868800 in words is "one billion, seventy million, eight hundred sixty-eight thousand, eight hundred".