59964 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 18864.

The previous prime is 59957. The next prime is 59971. The reversal of 59964 is 46995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59957) and next prime (59971).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁵⁹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920).

59964 is an abundant number, since it is smaller than the sum of its proper divisors (87876).

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

59964 is a wasteful number, since it uses less digits than its factorization.

59964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 59964 is about 244.8754785600. The cubic root of 59964 is about 39.1408451099.

The spelling of 59964 in words is "fifty-nine thousand, nine hundred sixty-four".