1135663200 has 864 divisors, whose sum is σ = 5076237600. Its totient is φ = 243855360.

The previous prime is 1135663183. The next prime is 1135663201. The reversal of 1135663200 is 23665311.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135663201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30693582 + ... + 30693618.

It is an arithmetic number, because the mean of its divisors is an integer number (5875275).

Almost surely, 2^1135663200 is an apocalyptic number.

1135663200 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 1135663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538118800).

1135663200 is an abundant number, since it is smaller than the sum of its proper divisors (3940574400).

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

1135663200 is a wasteful number, since it uses less digits than its factorization.

1135663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1135663200 is about 33699.6023715414. The cubic root of 1135663200 is about 1043.3175616661.

The spelling of 1135663200 in words is "one billion, one hundred thirty-five million, six hundred sixty-three thousand, two hundred".