15348768 has 48 divisors (see below), whose sum is σ = 40715136. Its totient is φ = 5062400.

The previous prime is 15348763. The next prime is 15348799. The reversal of 15348768 is 86784351.

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

It is not an unprimeable number, because it can be changed into a prime (15348763) 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, 8905 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (848232).

Almost surely, 2^15348768 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 15348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357568).

15348768 is an abundant number, since it is smaller than the sum of its proper divisors (25366368).

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

15348768 is a wasteful number, since it uses less digits than its factorization.

15348768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1689 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 15348768 is about 3917.7503748963. The cubic root of 15348768 is about 248.5179946674.

The spelling of 15348768 in words is "fifteen million, three hundred forty-eight thousand, seven hundred sixty-eight".