126504648 has 48 divisors (see below), whose sum is σ = 344448000. Its totient is φ = 41942880.

The previous prime is 126504617. The next prime is 126504661. The reversal of 126504648 is 846405621.

126504648 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 0 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9153 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (7176000).

Almost surely, 2^126504648 is an apocalyptic number.

126504648 is a gapful number since it is divisible by the number (18) 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 126504648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172224000).

126504648 is an abundant number, since it is smaller than the sum of its proper divisors (217943352).

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

126504648 is a wasteful number, since it uses less digits than its factorization.

126504648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 126504648 is about 11247.4285061075. The cubic root of 126504648 is about 501.9982010803.

The spelling of 126504648 in words is "one hundred twenty-six million, five hundred four thousand, six hundred forty-eight".