126160080 has 120 divisors (see below), whose sum is σ = 404858016. Its totient is φ = 32497920.

The previous prime is 126160061. The next prime is 126160109. The reversal of 126160080 is 80061621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126160080.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230367 + ... + 230913.

Almost surely, 2^126160080 is an apocalyptic number.

126160080 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 126160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202429008).

126160080 is an abundant number, since it is smaller than the sum of its proper divisors (278697936).

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

126160080 is a wasteful number, since it uses less digits than its factorization.

126160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 126160080 is about 11232.1004269015. The cubic root of 126160080 is about 501.5420128373.

The spelling of 126160080 in words is "one hundred twenty-six million, one hundred sixty thousand, eighty".