15048640 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 5529600.

The previous prime is 15048637. The next prime is 15048641. The reversal of 15048640 is 4684051.

It is a junction number, because it is equal to n+sod(n) for n = 15048599 and 15048608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15048641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367020 + ... + 367060.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^15048640 is an apocalyptic number.

15048640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

15048640 is an abundant number, since it is smaller than the sum of its proper divisors (23868224).

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

15048640 is a wasteful number, since it uses less digits than its factorization.

15048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 15048640 is about 3879.2576609449. The cubic root of 15048640 is about 246.8874899412.

The spelling of 15048640 in words is "fifteen million, forty-eight thousand, six hundred forty".