12787520 has 56 divisors (see below), whose sum is σ = 30861000. Its totient is φ = 5046272.

The previous prime is 12787501. The next prime is 12787547. The reversal of 12787520 is 2578721.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 12222016 = 752^2 + 3496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 28256 + ... + 28704.

Almost surely, 2^12787520 is an apocalyptic number.

12787520 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 12787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430500).

12787520 is an abundant number, since it is smaller than the sum of its proper divisors (18073480).

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

12787520 is an equidigital number, since it uses as much as digits as its factorization.

12787520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12787520 is about 3575.9642056374. The cubic root of 12787520 is about 233.8453698745.

The spelling of 12787520 in words is "twelve million, seven hundred eighty-seven thousand, five hundred twenty".