15116064 has 48 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4985600.

The previous prime is 15116063. The next prime is 15116069. The reversal of 15116064 is 46061151.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (15116063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8917 + ... + 10475.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^15116064 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 15116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

15116064 is an abundant number, since it is smaller than the sum of its proper divisors (24982176).

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

15116064 is a wasteful number, since it uses less digits than its factorization.

15116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 15116064 is about 3887.9382711149. The cubic root of 15116064 is about 247.2556592759.

The spelling of 15116064 in words is "fifteen million, one hundred sixteen thousand, sixty-four".