126971936 has 72 divisors (see below), whose sum is σ = 313207020. Its totient is φ = 50222592.

The previous prime is 126971909. The next prime is 126971951. The reversal of 126971936 is 639179621.

It can be written as a sum of positive squares in 2 ways, for example, as 122323600 + 4648336 = 11060^2 + 2156^2 .

It is a super-2 number, since 2×126971936² = 32243745063176192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17270 + ... + 23498.

Almost surely, 2^126971936 is an apocalyptic number.

126971936 is a gapful number since it is divisible by the number (16) 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 126971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156603510).

126971936 is an abundant number, since it is smaller than the sum of its proper divisors (186235084).

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

126971936 is a wasteful number, since it uses less digits than its factorization.

126971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6251 counting only the distinct ones).

The product of its digits is 122472, while the sum is 44.

The square root of 126971936 is about 11268.1824621365. The cubic root of 126971936 is about 502.6155420224.

The spelling of 126971936 in words is "one hundred twenty-six million, nine hundred seventy-one thousand, nine hundred thirty-six".