12735820 has 24 divisors (see below), whose sum is σ = 26954928. Its totient is φ = 5054400.

The previous prime is 12735787. The next prime is 12735841. The reversal of 12735820 is 2853721.

It is a super-2 number, since 2×12735820² = 324402222144800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 5050.

It is an arithmetic number, because the mean of its divisors is an integer number (1123122).

Almost surely, 2^12735820 is an apocalyptic number.

12735820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12735820 is an abundant number, since it is smaller than the sum of its proper divisors (14219108).

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

12735820 is a wasteful number, since it uses less digits than its factorization.

12735820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 12735820 is about 3568.7280647312. The cubic root of 12735820 is about 233.5297982504.

The spelling of 12735820 in words is "twelve million, seven hundred thirty-five thousand, eight hundred twenty".