126961344 has 140 divisors (see below), whose sum is σ = 396468600. Its totient is φ = 40061952.

The previous prime is 126961301. The next prime is 126961361. The reversal of 126961344 is 443169621.

It is a super-2 number, since 2×126961344² = 32238365740572672, which contains 22 as substring.

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

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 = 126961299 and 126961308.

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 19 ways as a sum of consecutive naturals, for example, 97852 + ... + 99140.

Almost surely, 2^126961344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198234300).

126961344 is an abundant number, since it is smaller than the sum of its proper divisors (269507256).

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

126961344 is a wasteful number, since it uses less digits than its factorization.

126961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126961344 is about 11267.7124563950. The cubic root of 126961344 is about 502.6015655695.

The spelling of 126961344 in words is "one hundred twenty-six million, nine hundred sixty-one thousand, three hundred forty-four".