1106878080 has 256 divisors, whose sum is σ = 4399349760. Its totient is φ = 229969920.

The previous prime is 1106878063. The next prime is 1106878099. The reversal of 1106878080 is 808786011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144097 + ... + 151583.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2^1106878080 is an apocalyptic number.

1106878080 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 1106878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199674880).

1106878080 is an abundant number, since it is smaller than the sum of its proper divisors (3292471680).

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

1106878080 is a wasteful number, since it uses less digits than its factorization.

1106878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 1106878080 is about 33269.7772760805. Note that the first 3 decimals coincide. The cubic root of 1106878080 is about 1034.4271936071.

The spelling of 1106878080 in words is "one billion, one hundred six million, eight hundred seventy-eight thousand, eighty".