17040 has 40 divisors (see below), whose sum is σ = 53568. Its totient is φ = 4480.

The previous prime is 17033. The next prime is 17041. The reversal of 17040 is 4071.

17040 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (17041) by changing a digit.

17040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 275.

2¹⁷⁰⁴⁰ is an apocalyptic number.

17040 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 17040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

17040 is an abundant number, since it is smaller than the sum of its proper divisors (36528).

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

17040 is a wasteful number, since it uses less digits than its factorization.

17040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 17040 is about 130.5373509766. The cubic root of 17040 is about 25.7329670245.

Multiplying 17040 by its sum of digits (12), we get a triangular number (204480 = T₆₃₉).

It can be divided in two parts, 170 and 40, that added together give a triangular number (210 = T₂₀).

The spelling of 17040 in words is "seventeen thousand, forty", and thus it is an iban number.