1133841600 has 252 divisors, whose sum is σ = 4090385520. Its totient is φ = 297830400.

The previous prime is 1133841581. The next prime is 1133841601. The reversal of 1133841600 is 61483311.

1133841600 is a `hidden beast` number, since 1 + 13 + 3 + 8 + 41 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (1133841601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1021846 + ... + 1022954.

Almost surely, 2^1133841600 is an apocalyptic number.

1133841600 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 1133841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045192760).

1133841600 is an abundant number, since it is smaller than the sum of its proper divisors (2956543920).

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

1133841600 is a wasteful number, since it uses less digits than its factorization.

1133841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1133841600 is about 33672.5644999011. The cubic root of 1133841600 is about 1042.7594371821.

The spelling of 1133841600 in words is "one billion, one hundred thirty-three million, eight hundred forty-one thousand, six hundred".