1106568960 has 216 divisors, whose sum is σ = 4111800336. Its totient is φ = 252887040.

The previous prime is 1106568943. The next prime is 1106568961. The reversal of 1106568960 is 698656011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106568961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 185220 + ... + 191100.

Almost surely, 2^1106568960 is an apocalyptic number.

1106568960 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 1106568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055900168).

1106568960 is an abundant number, since it is smaller than the sum of its proper divisors (3005231376).

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

1106568960 is an equidigital number, since it uses as much as digits as its factorization.

1106568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1106568960 is about 33265.1312938939. The cubic root of 1106568960 is about 1034.3308891416.

The spelling of 1106568960 in words is "one billion, one hundred six million, five hundred sixty-eight thousand, nine hundred sixty".