126873936 has 90 divisors (see below), whose sum is σ = 413064522. Its totient is φ = 36247680.

The previous prime is 126873863. The next prime is 126873953. The reversal of 126873936 is 639378621.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 176400 = 11256^2 + 420^2 .

It is a super-2 number, since 2×126873936² = 32193991272264192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126873891 and 126873900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1935 + ... + 16046.

Almost surely, 2^126873936 is an apocalyptic number.

126873936 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 126873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532261).

126873936 is an abundant number, since it is smaller than the sum of its proper divisors (286190586).

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

126873936 is a wasteful number, since it uses less digits than its factorization.

126873936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17993 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 126873936 is about 11263.8330953544. The cubic root of 126873936 is about 502.4861984774.

The spelling of 126873936 in words is "one hundred twenty-six million, eight hundred seventy-three thousand, nine hundred thirty-six".