1135864000 has 112 divisors (see below), whose sum is σ = 2882408256. Its totient is φ = 443136000.

The previous prime is 1135863983. The next prime is 1135864007. The reversal of 1135864000 is 4685311.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1135864000.

It is not an unprimeable number, because it can be changed into a prime (1135864007) 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, 326269 + ... + 329731.

It is an arithmetic number, because the mean of its divisors is an integer number (25735788).

Almost surely, 2^1135864000 is an apocalyptic number.

1135864000 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 1135864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441204128).

1135864000 is an abundant number, since it is smaller than the sum of its proper divisors (1746544256).

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

1135864000 is an equidigital number, since it uses as much as digits as its factorization.

1135864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1135864000 is about 33702.5815034991. The cubic root of 1135864000 is about 1043.3790487397.

Subtracting from 1135864000 its reverse (4685311), we obtain a square (1131178689 = 33633²).

The spelling of 1135864000 in words is "one billion, one hundred thirty-five million, eight hundred sixty-four thousand".