126080064 has 252 divisors, whose sum is σ = 418086032. Its totient is φ = 37635840.

The previous prime is 126080063. The next prime is 126080077. The reversal of 126080064 is 460080621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126080063) 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 35 ways as a sum of consecutive naturals, for example, 1881759 + ... + 1881825.

Almost surely, 2^126080064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209043016).

126080064 is an abundant number, since it is smaller than the sum of its proper divisors (292005968).

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

126080064 is an equidigital number, since it uses as much as digits as its factorization.

126080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126080064 is about 11228.5379279762. The cubic root of 126080064 is about 501.4359574379.

The spelling of 126080064 in words is "one hundred twenty-six million, eighty thousand, sixty-four".