56340 has 36 divisors (see below), whose sum is σ = 171444. Its totient is φ = 14976.

The previous prime is 56333. The next prime is 56359. The reversal of 56340 is 4365.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 49284 = 84^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56340.

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 11 ways as a sum of consecutive naturals, for example, 24 + ... + 336.

2⁵⁶³⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85722).

56340 is an abundant number, since it is smaller than the sum of its proper divisors (115104).

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

56340 is a wasteful number, since it uses less digits than its factorization.

56340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

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

The square root of 56340 is about 237.3604853382. The cubic root of 56340 is about 38.3358956489.

The spelling of 56340 in words is "fifty-six thousand, three hundred forty".