126468648 has 32 divisors (see below), whose sum is σ = 351302400. Its totient is φ = 42156144.

The previous prime is 126468647. The next prime is 126468649. The reversal of 126468648 is 846864621.

126468648 is a `hidden beast` number, since 126 + 468 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (126468647) and next prime (126468649).

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

It is not an unprimeable number, because it can be changed into a prime (126468647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292536 + ... + 292967.

It is an arithmetic number, because the mean of its divisors is an integer number (10978200).

Almost surely, 2^126468648 is an apocalyptic number.

126468648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126468648 is an abundant number, since it is smaller than the sum of its proper divisors (224833752).

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

126468648 is a wasteful number, since it uses less digits than its factorization.

126468648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585518 (or 585508 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 126468648 is about 11245.8280264283. The cubic root of 126468648 is about 501.9505779295.

The spelling of 126468648 in words is "one hundred twenty-six million, four hundred sixty-eight thousand, six hundred forty-eight".