59064 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 18656.

The previous prime is 59063. The next prime is 59069. The reversal of 59064 is 46095.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5 + 9⁵ + 0 + 6 + 4 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

59064 is a Friedman number, since it can be written as 9^5+60/4, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁶⁴ 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 59064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

59064 is an abundant number, since it is smaller than the sum of its proper divisors (96456).

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

59064 is a wasteful number, since it uses less digits than its factorization.

59064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 59064 is about 243.0308622377. The cubic root of 59064 is about 38.9440354433.

The spelling of 59064 in words is "fifty-nine thousand, sixty-four".