126711936 has 96 divisors (see below), whose sum is σ = 392721420. Its totient is φ = 38983680.

The previous prime is 126711929. The next prime is 126711943. The reversal of 126711936 is 639117621.

It is an interprime number because it is at equal distance from previous prime (126711929) and next prime (126711943).

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 14400 = 11256^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126711936.

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, 10746 + ... + 19206.

Almost surely, 2^126711936 is an apocalyptic number.

126711936 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 126711936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196360710).

126711936 is an abundant number, since it is smaller than the sum of its proper divisors (266009484).

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

126711936 is a wasteful number, since it uses less digits than its factorization.

126711936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8479 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 126711936 is about 11256.6396406743. The cubic root of 126711936 is about 502.2722395459.

It can be divided in two parts, 1267 and 11936, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 126711936 in words is "one hundred twenty-six million, seven hundred eleven thousand, nine hundred thirty-six".