1159120 has 20 divisors (see below), whose sum is σ = 2695140. Its totient is φ = 463616.

The previous prime is 1159091. The next prime is 1159127. The reversal of 1159120 is 219511.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 876096 = 532^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159127) 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 3 ways as a sum of consecutive naturals, for example, 7165 + ... + 7324.

It is an arithmetic number, because the mean of its divisors is an integer number (134757).

2^1159120 is an apocalyptic number.

1159120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159120 is an abundant number, since it is smaller than the sum of its proper divisors (1536020).

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

1159120 is a wasteful number, since it uses less digits than its factorization.

1159120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 1159120 is about 1076.6243541737. The cubic root of 1159120 is about 105.0451808585.

It can be divided in two parts, 11591 and 20, that added together give a palindrome (11611).

The spelling of 1159120 in words is "one million, one hundred fifty-nine thousand, one hundred twenty".