59406 has 8 divisors (see below), whose sum is σ = 118824. Its totient is φ = 19800.
The previous prime is 59399. The next prime is 59407. The reversal of 59406 is 60495.
It is a sphenic number, since it is the product of 3 distinct primes.
59406 is an admirable number.
It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is an Ulam number.
It is a d-powerful number, because it can be written as 53 + 95 + 42 + 0 + 63 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (59407) by changing a digit.
59406 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 4945 + ... + 4956.
It is an arithmetic number, because the mean of its divisors is an integer number (14853).
259406 is an apocalyptic number.
59406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59412).
59406 is a wasteful number, since it uses less digits than its factorization.
59406 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9906.
The product of its (nonzero) digits is 1080, while the sum is 24.
The square root of 59406 is about 243.7334609774. The cubic root of 59406 is about 39.0190570900.
Subtracting 59406 from its reverse (60495), we obtain a square (1089 = 332).
It can be divided in two parts, 59 and 406, that added together give a triangular number (465 = T30).
The spelling of 59406 in words is "fifty-nine thousand, four hundred six".
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