15068040 has 96 divisors (see below), whose sum is σ = 49014720. Its totient is φ = 3704064.

The previous prime is 15068029. The next prime is 15068047. The reversal of 15068040 is 4086051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15068040.

It is not an unprimeable number, because it can be changed into a prime (15068047) 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 23 ways as a sum of consecutive naturals, for example, 19909 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (510570).

Almost surely, 2^15068040 is an apocalyptic number.

15068040 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 15068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

15068040 is an abundant number, since it is smaller than the sum of its proper divisors (33946680).

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

15068040 is a wasteful number, since it uses less digits than its factorization.

15068040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 15068040 is about 3881.7573339919. The cubic root of 15068040 is about 246.9935363036.

The spelling of 15068040 in words is "fifteen million, sixty-eight thousand, forty".