126564640 has 24 divisors (see below), whose sum is σ = 299009340. Its totient is φ = 50625792.

The previous prime is 126564637. The next prime is 126564667. The reversal of 126564640 is 46465621.

It can be written as a sum of positive squares in 2 ways, for example, as 124456336 + 2108304 = 11156^2 + 1452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126564596 and 126564605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395355 + ... + 395674.

Almost surely, 2^126564640 is an apocalyptic number.

126564640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126564640 is an abundant number, since it is smaller than the sum of its proper divisors (172444700).

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

126564640 is an equidigital number, since it uses as much as digits as its factorization.

126564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791044 (or 791036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 126564640 is about 11250.0951107091. The cubic root of 126564640 is about 502.0775423462.

The spelling of 126564640 in words is "one hundred twenty-six million, five hundred sixty-four thousand, six hundred forty".