126726080 has 112 divisors (see below), whose sum is σ = 333353664. Its totient is φ = 45588480.

The previous prime is 126726077. The next prime is 126726091. The reversal of 126726080 is 80627621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170189 + ... + 170931.

It is an arithmetic number, because the mean of its divisors is an integer number (2976372).

Almost surely, 2^126726080 is an apocalyptic number.

126726080 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 126726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166676832).

126726080 is an abundant number, since it is smaller than the sum of its proper divisors (206627584).

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

126726080 is a wasteful number, since it uses less digits than its factorization.

126726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 126726080 is about 11257.2678745777. The cubic root of 126726080 is about 502.2909272730.

The spelling of 126726080 in words is "one hundred twenty-six million, seven hundred twenty-six thousand, eighty".