1133680800 has 144 divisors (see below), whose sum is σ = 4217355072. Its totient is φ = 259123200.

The previous prime is 1133680783. The next prime is 1133680817. The reversal of 1133680800 is 80863311.

It is an interprime number because it is at equal distance from previous prime (1133680783) and next prime (1133680817).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 16941 + ... + 50540.

It is an arithmetic number, because the mean of its divisors is an integer number (29287188).

Almost surely, 2^1133680800 is an apocalyptic number.

1133680800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133680800 is an abundant number, since it is smaller than the sum of its proper divisors (3083674272).

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

1133680800 is a wasteful number, since it uses less digits than its factorization.

1133680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67511 (or 67498 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1133680800 is about 33670.1767147130. The cubic root of 1133680800 is about 1042.7101405711.

The spelling of 1133680800 in words is "one billion, one hundred thirty-three million, six hundred eighty thousand, eight hundred".