59340 has 48 divisors (see below), whose sum is σ = 177408. Its totient is φ = 14784.

The previous prime is 59333. The next prime is 59341. The reversal of 59340 is 4395.

59340 is a nontrivial binomial coefficient, being equal to C(345, 2).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59341) 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, 1359 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

2⁵⁹³⁴⁰ is an apocalyptic number.

59340 is the 344-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704).

59340 is an abundant number, since it is smaller than the sum of its proper divisors (118068).

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

59340 is a wasteful number, since it uses less digits than its factorization.

59340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 59340 is about 243.5980295487. The cubic root of 59340 is about 39.0046016924.

Subtracting from 59340 its sum of digits (21), we obtain a cube (59319 = 39³).

Subtracting from 59340 its reverse (4395), we obtain a palindrome (54945).

The spelling of 59340 in words is "fifty-nine thousand, three hundred forty".