12737790 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2954880.

The previous prime is 12737789. The next prime is 12737797. The reversal of 12737790 is 9773721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12737797) 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, 66595 + ... + 66785.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^12737790 is an apocalyptic number.

12737790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12737790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12737790 is an abundant number, since it is smaller than the sum of its proper divisors (25969410).

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

12737790 is a wasteful number, since it uses less digits than its factorization.

With its successor (12737791) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (233).

12737790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 12737790 is about 3569.0040627604. The cubic root of 12737790 is about 233.5418385688.

The spelling of 12737790 in words is "twelve million, seven hundred thirty-seven thousand, seven hundred ninety".