340560 has 120 divisors (see below), whose sum is σ = 1276704. Its totient is φ = 80640.

The previous prime is 340559. The next prime is 340573. The reversal of 340560 is 65043.

340560 = T₁₇ + T₁₈ + ... + T₁₂₆.

It is a happy number.

340560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×340560² = 231962227200, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7899 + ... + 7941.

2³⁴⁰⁵⁶⁰ is an apocalyptic number.

340560 is a gapful number since it is divisible by the number (30) 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 340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352).

340560 is an abundant number, since it is smaller than the sum of its proper divisors (936144).

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

340560 is a wasteful number, since it uses less digits than its factorization.

340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 340560 is about 583.5751879578. The cubic root of 340560 is about 69.8336184499.

340560 divided by its product of nonzero digits (360) gives a triangular number (946 = T₄₃).

It can be divided in two parts, 340 and 560, that added together give a square (900 = 30²).

The spelling of 340560 in words is "three hundred forty thousand, five hundred sixty".