1112832000 has 768 divisors, whose sum is σ = 4906137600. Its totient is φ = 243302400.

The previous prime is 1112831969. The next prime is 1112832047. The reversal of 1112832000 is 2382111.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 48383989 + ... + 48384011.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^1112832000 is an apocalyptic number.

1112832000 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 1112832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453068800).

1112832000 is an abundant number, since it is smaller than the sum of its proper divisors (3793305600).

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

1112832000 is an equidigital number, since it uses as much as digits as its factorization.

1112832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1112832000 is about 33359.1366794766. The cubic root of 1112832000 is about 1036.2786130198.

The spelling of 1112832000 in words is "one billion, one hundred twelve million, eight hundred thirty-two thousand".