1115680 has 48 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 421632.

The previous prime is 1115657. The next prime is 1115683. The reversal of 1115680 is 865111.

It is not an unprimeable number, because it can be changed into a prime (1115683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2857 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2^1115680 is an apocalyptic number.

1115680 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 1115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

1115680 is an abundant number, since it is smaller than the sum of its proper divisors (1666400).

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

1115680 is a wasteful number, since it uses less digits than its factorization.

1115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 1115680 is about 1056.2575443518. The cubic root of 1115680 is about 103.7161887211.

It can be divided in two parts, 11156 and 80, that added together give a square (11236 = 106²).

The spelling of 1115680 in words is "one million, one hundred fifteen thousand, six hundred eighty".