15064 has 16 divisors (see below), whose sum is σ = 32400. Its totient is φ = 6432.

The previous prime is 15061. The next prime is 15073. The reversal of 15064 is 46051.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2¹⁵⁰⁶⁴ is an apocalyptic number.

15064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15064 is an abundant number, since it is smaller than the sum of its proper divisors (17336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

15064 is a wasteful number, since it uses less digits than its factorization.

15064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 15064 is about 122.7354879405. The cubic root of 15064 is about 24.6971459929.

The spelling of 15064 in words is "fifteen thousand, sixty-four".