12852840 has 256 divisors, whose sum is σ = 52254720. Its totient is φ = 2442240.

The previous prime is 12852809. The next prime is 12852841. The reversal of 12852840 is 4825821.

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 = 12852798 and 12852807.

It is not an unprimeable number, because it can be changed into a prime (12852841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120067 + ... + 120173.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^12852840 is an apocalyptic number.

12852840 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 12852840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

12852840 is an abundant number, since it is smaller than the sum of its proper divisors (39401880).

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

12852840 is a wasteful number, since it uses less digits than its factorization.

12852840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12852840 is about 3585.0857730325. The cubic root of 12852840 is about 234.2428627614.

The spelling of 12852840 in words is "twelve million, eight hundred fifty-two thousand, eight hundred forty".