1083680 has 48 divisors (see below), whose sum is σ = 2762424. Its totient is φ = 399360.

The previous prime is 1083659. The next prime is 1083689. The reversal of 1083680 is 863801.

It is a Cunningham number, because it is equal to 1041²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 524176 = 748^2 + 724^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083689) 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, 1820 + ... + 2340.

2^1083680 is an apocalyptic number.

1083680 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 1083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381212).

1083680 is an abundant number, since it is smaller than the sum of its proper divisors (1678744).

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

1083680 is a wasteful number, since it uses less digits than its factorization.

1083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1083680 is about 1040.9995196925. Note that the first 3 decimals coincide. The cubic root of 1083680 is about 102.7149563877.

The spelling of 1083680 in words is "one million, eighty-three thousand, six hundred eighty".