1116831672 has 256 divisors, whose sum is σ = 3529267200. Its totient is φ = 324311040.

The previous prime is 1116831671. The next prime is 1116831679. The reversal of 1116831672 is 2761386111.

1116831672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116831671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8151988 + ... + 8152124.

It is an arithmetic number, because the mean of its divisors is an integer number (13786200).

Almost surely, 2^1116831672 is an apocalyptic number.

1116831672 is a gapful number since it is divisible by the number (12) 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 1116831672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764633600).

1116831672 is an abundant number, since it is smaller than the sum of its proper divisors (2412435528).

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

1116831672 is a wasteful number, since it uses less digits than its factorization.

1116831672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1116831672 is about 33419.0315838146. The cubic root of 1116831672 is about 1037.5186381129.

The spelling of 1116831672 in words is "one billion, one hundred sixteen million, eight hundred thirty-one thousand, six hundred seventy-two".