1117840 has 40 divisors (see below), whose sum is σ = 2644920. Its totient is φ = 439296.

The previous prime is 1117819. The next prime is 1117861. The reversal of 1117840 is 487111.

It is an interprime number because it is at equal distance from previous prime (1117819) and next prime (1117861).

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 1115136 = 52^2 + 1056^2 .

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

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, 7042 + ... + 7198.

It is an arithmetic number, because the mean of its divisors is an integer number (66123).

2^1117840 is an apocalyptic number.

1117840 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 1117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322460).

1117840 is an abundant number, since it is smaller than the sum of its proper divisors (1527080).

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

1117840 is a wasteful number, since it uses less digits than its factorization.

1117840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 1117840 is about 1057.2795278449. The cubic root of 1117840 is about 103.7830784350.

The spelling of 1117840 in words is "one million, one hundred seventeen thousand, eight hundred forty".