12575840 has 48 divisors (see below), whose sum is σ = 30291408. Its totient is φ = 4932096.

The previous prime is 12575839. The next prime is 12575851. The reversal of 12575840 is 4857521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12575797 and 12575806.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7739 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (631071).

Almost surely, 2^12575840 is an apocalyptic number.

12575840 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 12575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145704).

12575840 is an abundant number, since it is smaller than the sum of its proper divisors (17715568).

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

12575840 is a wasteful number, since it uses less digits than its factorization.

12575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 12575840 is about 3546.2430824747. The cubic root of 12575840 is about 232.5478531016.

The spelling of 12575840 in words is "twelve million, five hundred seventy-five thousand, eight hundred forty".