59968 has 14 divisors (see below), whose sum is σ = 119126. Its totient is φ = 29952.

The previous prime is 59957. The next prime is 59971. The reversal of 59968 is 86995.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 23104 = 192^2 + 152^2 .

It is a super-2 number, since 2×59968² = 7192322048, which contains 22 as substring.

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

59968 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 as a sum of consecutive naturals, namely, 405 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (8509).

2⁵⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

59968 is a deficient number, since it is larger than the sum of its proper divisors (59158).

59968 is an equidigital number, since it uses as much as digits as its factorization.

59968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 59968 is about 244.8836458402. The cubic root of 59968 is about 39.1417154093.

The spelling of 59968 in words is "fifty-nine thousand, nine hundred sixty-eight".