1140880 has 40 divisors (see below), whose sum is σ = 2859192. Its totient is φ = 420864.

The previous prime is 1140871. The next prime is 1140901. The reversal of 1140880 is 880411.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 1140624 = 16^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 1588.

2^1140880 is an apocalyptic number.

1140880 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 1140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429596).

1140880 is an abundant number, since it is smaller than the sum of its proper divisors (1718312).

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

1140880 is a wasteful number, since it uses less digits than its factorization.

1140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1140880 is about 1068.1198434633. The cubic root of 1140880 is about 104.4912654955.

Subtracting from 1140880 its product of nonzero digits (256), we obtain a square (1140624 = 1068²).

The spelling of 1140880 in words is "one million, one hundred forty thousand, eight hundred eighty".