15048320 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 5157888.

The previous prime is 15048301. The next prime is 15048329. The reversal of 15048320 is 2384051.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (15048329) 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, 2801 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^15048320 is an apocalyptic number.

15048320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15048320 is the 2240-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

15048320 is an abundant number, since it is smaller than the sum of its proper divisors (26078080).

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

15048320 is an equidigital number, since it uses as much as digits as its factorization.

15048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 15048320 is about 3879.2164157211. The cubic root of 15048320 is about 246.8857399590.

The spelling of 15048320 in words is "fifteen million, forty-eight thousand, three hundred twenty".