1111920 has 80 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 286720.

The previous prime is 1111897. The next prime is 1111921. The reversal of 1111920 is 291111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1111920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9784 + ... + 9896.

2^1111920 is an apocalyptic number.

1111920 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 1111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

1111920 is an abundant number, since it is smaller than the sum of its proper divisors (2450352).

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

1111920 is a wasteful number, since it uses less digits than its factorization.

1111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 1111920 is about 1054.4761732728. The cubic root of 1111920 is about 103.5995448269.

The spelling of 1111920 in words is "one million, one hundred eleven thousand, nine hundred twenty".