126639648 has 72 divisors (see below), whose sum is σ = 365562288. Its totient is φ = 41576832.

The previous prime is 126639637. The next prime is 126639661. The reversal of 126639648 is 846936621.

126639648 is a `hidden beast` number, since 1 + 2 + 6 + 639 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16015 + ... + 22577.

It is an arithmetic number, because the mean of its divisors is an integer number (5077254).

Almost surely, 2^126639648 is an apocalyptic number.

126639648 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 126639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182781144).

126639648 is an abundant number, since it is smaller than the sum of its proper divisors (238922640).

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

126639648 is a wasteful number, since it uses less digits than its factorization.

126639648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6635 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 126639648 is about 11253.4282776406. The cubic root of 126639648 is about 502.1767074714.

The spelling of 126639648 in words is "one hundred twenty-six million, six hundred thirty-nine thousand, six hundred forty-eight".