12915840 has 192 divisors, whose sum is σ = 48617280. Its totient is φ = 2856960.

The previous prime is 12915821. The next prime is 12915883. The reversal of 12915840 is 4851921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12915798 and 12915807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416625 + ... + 416655.

It is an arithmetic number, because the mean of its divisors is an integer number (253215).

Almost surely, 2^12915840 is an apocalyptic number.

12915840 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 12915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308640).

12915840 is an abundant number, since it is smaller than the sum of its proper divisors (35701440).

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

12915840 is an equidigital number, since it uses as much as digits as its factorization.

12915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 12915840 is about 3593.8614330550. The cubic root of 12915840 is about 234.6249638934.

The spelling of 12915840 in words is "twelve million, nine hundred fifteen thousand, eight hundred forty".