56406 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 14976.

The previous prime is 56401. The next prime is 56417. The reversal of 56406 is 60465.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁶⁴⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 237×238.

It is a practical number, because each smaller number is the sum of distinct divisors of 56406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

56406 is an abundant number, since it is smaller than the sum of its proper divisors (81834).

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

56406 is a wasteful number, since it uses less digits than its factorization.

56406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56406 is about 237.4994736836. The cubic root of 56406 is about 38.3508594506.

The spelling of 56406 in words is "fifty-six thousand, four hundred six".