12641540 has 24 divisors (see below), whose sum is σ = 28109592. Its totient is φ = 4759040.

The previous prime is 12641539. The next prime is 12641549. The reversal of 12641540 is 4514621.

It can be written as a sum of positive squares in 4 ways, for example, as 1658944 + 10982596 = 1288^2 + 3314^2 .

It is not an unprimeable number, because it can be changed into a prime (12641549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18251 + ... + 18930.

It is an arithmetic number, because the mean of its divisors is an integer number (1171233).

Almost surely, 2^12641540 is an apocalyptic number.

12641540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641540 is an abundant number, since it is smaller than the sum of its proper divisors (15468052).

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

12641540 is a wasteful number, since it uses less digits than its factorization.

12641540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37207 (or 37205 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12641540 is about 3555.4943397508. The cubic root of 12641540 is about 232.9521167421.

The spelling of 12641540 in words is "twelve million, six hundred forty-one thousand, five hundred forty".