126966906 has 128 divisors (see below), whose sum is σ = 325036800. Its totient is φ = 36391680.

The previous prime is 126966899. The next prime is 126966907. The reversal of 126966906 is 609669621.

It is a super-2 number, since 2×126966906² = 32241190438425672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126966907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164780 + ... + 1164888.

It is an arithmetic number, because the mean of its divisors is an integer number (2539350).

Almost surely, 2^126966906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126966906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518400).

126966906 is an abundant number, since it is smaller than the sum of its proper divisors (198069894).

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

126966906 is a wasteful number, since it uses less digits than its factorization.

126966906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 126966906 is about 11267.9592651021. The cubic root of 126966906 is about 502.6089048876.

The spelling of 126966906 in words is "one hundred twenty-six million, nine hundred sixty-six thousand, nine hundred six".