12825540 has 288 divisors, whose sum is σ = 51367680. Its totient is φ = 2612736.

The previous prime is 12825517. The next prime is 12825557. The reversal of 12825540 is 4552821.

12825540 = T₁₇₅ + T₁₇₆ + ... + T₄₃₄.

It is a happy number.

12825540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442246 + ... + 442274.

It is an arithmetic number, because the mean of its divisors is an integer number (178360).

Almost surely, 2^12825540 is an apocalyptic number.

12825540 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 12825540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

12825540 is an abundant number, since it is smaller than the sum of its proper divisors (38542140).

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

12825540 is a wasteful number, since it uses less digits than its factorization.

12825540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12825540 is about 3581.2763088039. The cubic root of 12825540 is about 234.0768978038.

The spelling of 12825540 in words is "twelve million, eight hundred twenty-five thousand, five hundred forty".