126064080 has 80 divisors (see below), whose sum is σ = 434228160. Its totient is φ = 33616512.

The previous prime is 126064079. The next prime is 126064093. The reversal of 126064080 is 80460621.

126064080 is a `hidden beast` number, since 12 + 6 + 0 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27022 + ... + 31341.

It is an arithmetic number, because the mean of its divisors is an integer number (5427852).

Almost surely, 2^126064080 is an apocalyptic number.

126064080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126064080 is an abundant number, since it is smaller than the sum of its proper divisors (308164080).

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

126064080 is a wasteful number, since it uses less digits than its factorization.

126064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58385 (or 58373 counting only the distinct ones).

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

The square root of 126064080 is about 11227.8261475675. The cubic root of 126064080 is about 501.4147664296.

The spelling of 126064080 in words is "one hundred twenty-six million, sixty-four thousand, eighty".