1114080 has 96 divisors (see below), whose sum is σ = 3846528. Its totient is φ = 268800.

The previous prime is 1114063. The next prime is 1114111. The reversal of 1114080 is 804111.

1114080 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5175 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2^1114080 is an apocalyptic number.

1114080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1055×1056.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923264).

1114080 is an abundant number, since it is smaller than the sum of its proper divisors (2732448).

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

1114080 is a wasteful number, since it uses less digits than its factorization.

1114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1114080 is about 1055.4998815727. The cubic root of 1114080 is about 103.6665851033. Note that the first 3 decimals are identical.

Adding to 1114080 its reverse (804111), we get a palindrome (1918191).

The spelling of 1114080 in words is "one million, one hundred fourteen thousand, eighty".