1003680 has 144 divisors (see below), whose sum is σ = 3714984. Its totient is φ = 245760.

The previous prime is 1003679. The next prime is 1003693. The reversal of 1003680 is 863001.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 318096 = 828^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24460 + ... + 24500.

2^1003680 is an apocalyptic number.

1003680 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 1003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492).

1003680 is an abundant number, since it is smaller than the sum of its proper divisors (2711304).

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

1003680 is a wasteful number, since it uses less digits than its factorization.

1003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1003680 is about 1001.8383103076. The cubic root of 1003680 is about 100.1225165024.

Adding to 1003680 its reverse (863001), we get a palindrome (1866681).

The spelling of 1003680 in words is "one million, three thousand, six hundred eighty".