126010040 has 64 divisors (see below), whose sum is σ = 315221760. Its totient is φ = 45020160.

The previous prime is 126010039. The next prime is 126010043. The reversal of 126010040 is 40010621.

It is a junction number, because it is equal to n+sod(n) for n = 126009997 and 126010024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126010043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12212 + ... + 20028.

It is an arithmetic number, because the mean of its divisors is an integer number (4925340).

Almost surely, 2^126010040 is an apocalyptic number.

126010040 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 126010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157610880).

126010040 is an abundant number, since it is smaller than the sum of its proper divisors (189211720).

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

126010040 is a wasteful number, since it uses less digits than its factorization.

126010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 126010040 is about 11225.4193685581. The cubic root of 126010040 is about 501.3431088865.

Adding to 126010040 its reverse (40010621), we get a palindrome (166020661).

The spelling of 126010040 in words is "one hundred twenty-six million, ten thousand, forty".