1114880 has 72 divisors (see below), whose sum is σ = 2918832. Its totient is φ = 405504.

The previous prime is 1114873. The next prime is 1114891. The reversal of 1114880 is 884111.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16607 + ... + 16673.

2^1114880 is an apocalyptic number.

1114880 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 1114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459416).

1114880 is an abundant number, since it is smaller than the sum of its proper divisors (1803952).

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

1114880 is an equidigital number, since it uses as much as digits as its factorization.

1114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 1114880 is about 1055.8787809214. The cubic root of 1114880 is about 103.6913928445.

Adding to 1114880 its product of nonzero digits (256), we get a square (1115136 = 1056²).

Adding to 1114880 its reverse (884111), we get a palindrome (1998991).

The spelling of 1114880 in words is "one million, one hundred fourteen thousand, eight hundred eighty".