12737640 has 64 divisors (see below), whose sum is σ = 38491200. Its totient is φ = 3372032.

The previous prime is 12737639. The next prime is 12737663. The reversal of 12737640 is 4673721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12737598 and 12737607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21184 + ... + 21776.

It is an arithmetic number, because the mean of its divisors is an integer number (601425).

Almost surely, 2^12737640 is an apocalyptic number.

12737640 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 12737640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19245600).

12737640 is an abundant number, since it is smaller than the sum of its proper divisors (25753560).

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

12737640 is a wasteful number, since it uses less digits than its factorization.

12737640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 12737640 is about 3568.9830484327. The cubic root of 12737640 is about 233.5409218370.

The spelling of 12737640 in words is "twelve million, seven hundred thirty-seven thousand, six hundred forty".