15047968 has 48 divisors (see below), whose sum is σ = 32482296. Its totient is φ = 6819840.

The previous prime is 15047899. The next prime is 15047969. The reversal of 15047968 is 86974051.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 8225424 = 2612^2 + 2868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15047968.

It is not an unprimeable number, because it can be changed into a prime (15047969) 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, 25080 + ... + 25672.

Almost surely, 2^15047968 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 15047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241148).

15047968 is an abundant number, since it is smaller than the sum of its proper divisors (17434328).

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

15047968 is a wasteful number, since it uses less digits than its factorization.

15047968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 15047968 is about 3879.1710454683. The cubic root of 15047968 is about 246.8838149499.

The spelling of 15047968 in words is "fifteen million, forty-seven thousand, nine hundred sixty-eight".