1139832000 has 280 divisors, whose sum is σ = 4219163520. Its totient is φ = 303782400.

The previous prime is 1139831993. The next prime is 1139832007. The reversal of 1139832000 is 2389311.

It is an interprime number because it is at equal distance from previous prime (1139831993) and next prime (1139832007).

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

It is not an unprimeable number, because it can be changed into a prime (1139832007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647121 + ... + 648879.

Almost surely, 2^1139832000 is an apocalyptic number.

1139832000 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 1139832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109581760).

1139832000 is an abundant number, since it is smaller than the sum of its proper divisors (3079331520).

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

1139832000 is an equidigital number, since it uses as much as digits as its factorization.

1139832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1139832000 is about 33761.3980753167. The cubic root of 1139832000 is about 1044.5926084593.

The spelling of 1139832000 in words is "one billion, one hundred thirty-nine million, eight hundred thirty-two thousand".