126264000 has 112 divisors (see below), whose sum is σ = 417002976. Its totient is φ = 33664000.

The previous prime is 126263989. The next prime is 126264001. The reversal of 126264000 is 462621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126264001) 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 15 ways as a sum of consecutive naturals, for example, 21370 + ... + 26630.

Almost surely, 2^126264000 is an apocalyptic number.

126264000 is a gapful number since it is divisible by the number (10) 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 126264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208501488).

126264000 is an abundant number, since it is smaller than the sum of its proper divisors (290738976).

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

126264000 is an equidigital number, since it uses as much as digits as its factorization.

126264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 126264000 is about 11236.7255016753. The cubic root of 126264000 is about 501.6796843358.

The spelling of 126264000 in words is "one hundred twenty-six million, two hundred sixty-four thousand".