12692820 has 96 divisors (see below), whose sum is σ = 41545728. Its totient is φ = 2835072.

The previous prime is 12692809. The next prime is 12692831. The reversal of 12692820 is 2829621.

It is an interprime number because it is at equal distance from previous prime (12692809) and next prime (12692831).

It is a super-2 number, since 2×12692820² = 322215359104800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19419 + ... + 20061.

It is an arithmetic number, because the mean of its divisors is an integer number (432768).

Almost surely, 2^12692820 is an apocalyptic number.

12692820 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 12692820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772864).

12692820 is an abundant number, since it is smaller than the sum of its proper divisors (28852908).

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

12692820 is a wasteful number, since it uses less digits than its factorization.

12692820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12692820 is about 3562.6984155272. The cubic root of 12692820 is about 233.2666793742.

The spelling of 12692820 in words is "twelve million, six hundred ninety-two thousand, eight hundred twenty".