1105440 has 144 divisors (see below), whose sum is σ = 4136832. Its totient is φ = 247296.

The previous prime is 1105427. The next prime is 1105441. The reversal of 1105440 is 445011.

1105440 is nontrivially palindromic in base 11.

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

It is not an unprimeable number, because it can be changed into a prime (1105441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23497 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2^1105440 is an apocalyptic number.

1105440 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 1105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068416).

1105440 is an abundant number, since it is smaller than the sum of its proper divisors (3031392).

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

1105440 is a wasteful number, since it uses less digits than its factorization.

1105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1105440 is about 1051.3990679090. The cubic root of 1105440 is about 103.3979016044.

The spelling of 1105440 in words is "one million, one hundred five thousand, four hundred forty".