59264 has 16 divisors (see below), whose sum is σ = 118320. Its totient is φ = 29568.

The previous prime is 59263. The next prime is 59273. The reversal of 59264 is 46295.

It is a tau number, because it is divible by the number of its divisors (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59264.

It is not an unprimeable number, because it can be changed into a prime (59263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (7395).

2⁵⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

59264 is a deficient number, since it is larger than the sum of its proper divisors (59056).

59264 is an equidigital number, since it uses as much as digits as its factorization.

59264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 59264 is about 243.4419848752. The cubic root of 59264 is about 38.9879427992.

It can be divided in two parts, 592 and 64, that added together give a palindrome (656).

The spelling of 59264 in words is "fifty-nine thousand, two hundred sixty-four".