1133969760 has 576 divisors, whose sum is σ = 5046935040. Its totient is φ = 235146240.

The previous prime is 1133969741. The next prime is 1133969777. The reversal of 1133969760 is 679693311.

1133969760 is a `hidden beast` number, since 113 + 396 + 97 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328237 + ... + 2328723.

It is an arithmetic number, because the mean of its divisors is an integer number (8762040).

Almost surely, 2^1133969760 is an apocalyptic number.

1133969760 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 1133969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523467520).

1133969760 is an abundant number, since it is smaller than the sum of its proper divisors (3912965280).

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

1133969760 is a wasteful number, since it uses less digits than its factorization.

1133969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1133969760 is about 33674.4674790857. The cubic root of 1133969760 is about 1042.7987239792.

The spelling of 1133969760 in words is "one billion, one hundred thirty-three million, nine hundred sixty-nine thousand, seven hundred sixty".