1106849760 has 96 divisors (see below), whose sum is σ = 3500848512. Its totient is φ = 293952000.

The previous prime is 1106849747. The next prime is 1106849771. The reversal of 1106849760 is 679486011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115887 + ... + 125073.

It is an arithmetic number, because the mean of its divisors is an integer number (36467172).

Almost surely, 2^1106849760 is an apocalyptic number.

1106849760 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 1106849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750424256).

1106849760 is an abundant number, since it is smaller than the sum of its proper divisors (2393998752).

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

1106849760 is a wasteful number, since it uses less digits than its factorization.

1106849760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1106849760 is about 33269.3516618524. The cubic root of 1106849760 is about 1034.4183714286.

The spelling of 1106849760 in words is "one billion, one hundred six million, eight hundred forty-nine thousand, seven hundred sixty".