1107968 has 24 divisors (see below), whose sum is σ = 2219490. Its totient is φ = 552960.

The previous prime is 1107937. The next prime is 1107989. The reversal of 1107968 is 8697011.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 123904 = 992^2 + 352^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1778 + ... + 2318.

2^1107968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109745).

1107968 is an abundant number, since it is smaller than the sum of its proper divisors (1111522).

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

1107968 is an frugal number, since it uses more digits than its factorization.

1107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1107968 is about 1052.6005890175. The cubic root of 1107968 is about 103.4766608596.

The spelling of 1107968 in words is "one million, one hundred seven thousand, nine hundred sixty-eight".