1135968840 has 256 divisors, whose sum is σ = 3947961600. Its totient is φ = 290304000.

The previous prime is 1135968833. The next prime is 1135968859. The reversal of 1135968840 is 488695311.

1135968840 is a `hidden beast` number, since 1 + 13 + 596 + 8 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2832640 + ... + 2833040.

It is an arithmetic number, because the mean of its divisors is an integer number (15421725).

Almost surely, 2^1135968840 is an apocalyptic number.

1135968840 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 1135968840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973980800).

1135968840 is an abundant number, since it is smaller than the sum of its proper divisors (2811992760).

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

1135968840 is a wasteful number, since it uses less digits than its factorization.

1135968840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1135968840 is about 33704.1368380797. The cubic root of 1135968840 is about 1043.4111489718.

The spelling of 1135968840 in words is "one billion, one hundred thirty-five million, nine hundred sixty-eight thousand, eight hundred forty".