1110090960 has 320 divisors, whose sum is σ = 4392576000. Its totient is φ = 254845440.

The previous prime is 1110090937. The next prime is 1110090977. The reversal of 1110090960 is 690900111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450211 + ... + 452669.

It is an arithmetic number, because the mean of its divisors is an integer number (13726800).

Almost surely, 2^1110090960 is an apocalyptic number.

1110090960 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 1110090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196288000).

1110090960 is an abundant number, since it is smaller than the sum of its proper divisors (3282485040).

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

1110090960 is a wasteful number, since it uses less digits than its factorization.

1110090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1110090960 is about 33318.0275526628. The cubic root of 1110090960 is about 1035.4270869208.

The spelling of 1110090960 in words is "one billion, one hundred ten million, ninety thousand, nine hundred sixty".