1106767872 has 156 divisors (see below), whose sum is σ = 3654496560. Its totient is φ = 316145664.

The previous prime is 1106767853. The next prime is 1106767967. The reversal of 1106767872 is 2787676011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 255904 + ... + 260192.

It is an arithmetic number, because the mean of its divisors is an integer number (23426260).

Almost surely, 2^1106767872 is an apocalyptic number.

1106767872 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 1106767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827248280).

1106767872 is an abundant number, since it is smaller than the sum of its proper divisors (2547728688).

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

1106767872 is an equidigital number, since it uses as much as digits as its factorization.

1106767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1106767872 is about 33268.1209568560. The cubic root of 1106767872 is about 1034.3928610285.

The spelling of 1106767872 in words is "one billion, one hundred six million, seven hundred sixty-seven thousand, eight hundred seventy-two".