126630504 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 30240000.

The previous prime is 126630503. The next prime is 126630551. The reversal of 126630504 is 405036621.

126630504 is a `hidden beast` number, since 1 + 26 + 630 + 5 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (126630503) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 504379 + ... + 504629.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^126630504 is an apocalyptic number.

126630504 is a gapful number since it is divisible by the number (14) 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 126630504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

126630504 is an abundant number, since it is smaller than the sum of its proper divisors (343934136).

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

126630504 is a wasteful number, since it uses less digits than its factorization.

126630504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126630504 is about 11253.0219941134. The cubic root of 126630504 is about 502.1646206449.

The spelling of 126630504 in words is "one hundred twenty-six million, six hundred thirty thousand, five hundred four".