346560 has 84 divisors (see below), whose sum is σ = 1161288. Its totient is φ = 87552.

The previous prime is 346559. The next prime is 346561. The reversal of 346560 is 65643.

It is an interprime number because it is at equal distance from previous prime (346559) and next prime (346561).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 346560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18231 + ... + 18249.

2³⁴⁶⁵⁶⁰ is an apocalyptic number.

346560 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 346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580644).

346560 is an abundant number, since it is smaller than the sum of its proper divisors (814728).

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

346560 is a wasteful number, since it uses less digits than its factorization.

346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 346560 is about 588.6934686235. The cubic root of 346560 is about 70.2413438168.

Multiplying 346560 by its product of nonzero digits (2160), we get a square (748569600 = 27360²).

The spelling of 346560 in words is "three hundred forty-six thousand, five hundred sixty".