1017680 has 20 divisors (see below), whose sum is σ = 2366292. Its totient is φ = 407040.

The previous prime is 1017673. The next prime is 1017683. The reversal of 1017680 is 867101.

1017680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 364816 = 808^2 + 604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6281 + ... + 6440.

2^1017680 is an apocalyptic number.

1017680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017680 is an abundant number, since it is smaller than the sum of its proper divisors (1348612).

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

1017680 is a wasteful number, since it uses less digits than its factorization.

1017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1017680 is about 1008.8012688335. The cubic root of 1017680 is about 100.5858939125.

The spelling of 1017680 in words is "one million, seventeen thousand, six hundred eighty".