126068940 has 192 divisors, whose sum is σ = 429649920. Its totient is φ = 30551040.

The previous prime is 126068903. The next prime is 126068941. The reversal of 126068940 is 49860621.

126068940 is a `hidden beast` number, since 1 + 2 + 606 + 8 + 9 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126068895 and 126068904.

It is not an unprimeable number, because it can be changed into a prime (126068941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284359 + ... + 284801.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^126068940 is an apocalyptic number.

126068940 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 126068940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

126068940 is an abundant number, since it is smaller than the sum of its proper divisors (303580980).

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

126068940 is a wasteful number, since it uses less digits than its factorization.

126068940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126068940 is about 11228.0425720604. The cubic root of 126068940 is about 501.4212098311.

The spelling of 126068940 in words is "one hundred twenty-six million, sixty-eight thousand, nine hundred forty".