1112584672 has 96 divisors (see below), whose sum is σ = 2391893280. Its totient is φ = 509027328.

The previous prime is 1112584633. The next prime is 1112584747. The reversal of 1112584672 is 2764852111.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 8120988 + ... + 8121124.

It is an arithmetic number, because the mean of its divisors is an integer number (24915555).

Almost surely, 2^1112584672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195946640).

1112584672 is an abundant number, since it is smaller than the sum of its proper divisors (1279308608).

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

1112584672 is an equidigital number, since it uses as much as digits as its factorization.

1112584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 195 counting only the distinct ones).

The product of its digits is 26880, while the sum is 37.

The square root of 1112584672 is about 33355.4294231089. The cubic root of 1112584672 is about 1036.2018360200.

The spelling of 1112584672 in words is "one billion, one hundred twelve million, five hundred eighty-four thousand, six hundred seventy-two".