12268620 has 216 divisors, whose sum is σ = 47056464. Its totient is φ = 2564352.

The previous prime is 12268601. The next prime is 12268643. The reversal of 12268620 is 2686221.

12268620 is a `hidden beast` number, since 12 + 26 + 8 + 620 = 666.

12268620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114607 + ... + 114713.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^12268620 is an apocalyptic number.

12268620 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 12268620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

12268620 is an abundant number, since it is smaller than the sum of its proper divisors (34787844).

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

12268620 is a wasteful number, since it uses less digits than its factorization.

12268620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12268620 is about 3502.6589899675. The cubic root of 12268620 is about 230.6385531947.

The spelling of 12268620 in words is "twelve million, two hundred sixty-eight thousand, six hundred twenty".