12862520 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4224000.

The previous prime is 12862511. The next prime is 12862567. The reversal of 12862520 is 2526821.

12862520 = T₂₇₅ + T₂₇₆ + ... + T₄₆₀.

It is a self number, because there is not a number n which added to its sum of digits gives 12862520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313700 + ... + 313740.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^12862520 is an apocalyptic number.

12862520 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 12862520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12862520 is an abundant number, since it is smaller than the sum of its proper divisors (21973960).

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

12862520 is a wasteful number, since it uses less digits than its factorization.

12862520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12862520 is about 3586.4355563707. The cubic root of 12862520 is about 234.3016539678.

The spelling of 12862520 in words is "twelve million, eight hundred sixty-two thousand, five hundred twenty".