59368 has 16 divisors (see below), whose sum is σ = 114660. Its totient is φ = 28800.

The previous prime is 59359. The next prime is 59369. The reversal of 59368 is 86395.

59368 = T₃₂ + T₃₃ + ... + T₇₂.

59368 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 20164 = 198^2 + 142^2 .

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (59369) by changing a digit.

59368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 418.

2⁵⁹³⁶⁸ is an apocalyptic number.

It is an amenable number.

59368 is a deficient number, since it is larger than the sum of its proper divisors (55292).

59368 is a wasteful number, since it uses less digits than its factorization.

59368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 59368 is about 243.6554944999. The cubic root of 59368 is about 39.0107355937.

It can be divided in two parts, 59 and 368, that multiplied together give a palindrome (21712).

The spelling of 59368 in words is "fifty-nine thousand, three hundred sixty-eight".