1106688960 has 448 divisors, whose sum is σ = 4301337600. Its totient is φ = 266194944.

The previous prime is 1106688887. The next prime is 1106688977. The reversal of 1106688960 is 698866011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626797 + ... + 6626963.

It is an arithmetic number, because the mean of its divisors is an integer number (9601200).

Almost surely, 2^1106688960 is an apocalyptic number.

1106688960 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 1106688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150668800).

1106688960 is an abundant number, since it is smaller than the sum of its proper divisors (3194648640).

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

1106688960 is a wasteful number, since it uses less digits than its factorization.

1106688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1106688960 is about 33266.9349354581. The cubic root of 1106688960 is about 1034.3682765450.

The spelling of 1106688960 in words is "one billion, one hundred six million, six hundred eighty-eight thousand, nine hundred sixty".