126595648 has 56 divisors (see below), whose sum is σ = 260275832. Its totient is φ = 61046784.

The previous prime is 126595633. The next prime is 126595673. The reversal of 126595648 is 846595621.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 115089984 = 3392^2 + 10728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126595598 and 126595607.

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, 456886 + ... + 457162.

Almost surely, 2^126595648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130137916).

126595648 is an abundant number, since it is smaller than the sum of its proper divisors (133680184).

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

126595648 is a wasteful number, since it uses less digits than its factorization.

126595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 126595648 is about 11251.4731479927. The cubic root of 126595648 is about 502.1185415521.

The spelling of 126595648 in words is "one hundred twenty-six million, five hundred ninety-five thousand, six hundred forty-eight".