126864090 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 31268160.

The previous prime is 126864077. The next prime is 126864091. The reversal of 126864090 is 90468621.

126864090 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 640 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (126864091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192181 + ... + 192839.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^126864090 is an apocalyptic number.

126864090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126864090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

126864090 is an abundant number, since it is smaller than the sum of its proper divisors (238089510).

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

126864090 is a wasteful number, since it uses less digits than its factorization.

126864090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

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

The square root of 126864090 is about 11263.3960242904. The cubic root of 126864090 is about 502.4731997291.

The spelling of 126864090 in words is "one hundred twenty-six million, eight hundred sixty-four thousand, ninety".