126091890 has 80 divisors (see below), whose sum is σ = 359030232. Its totient is φ = 31643136.

The previous prime is 126091883. The next prime is 126091891. The reversal of 126091890 is 98190621.

It can be written as a sum of positive squares in 4 ways, for example, as 94653441 + 31438449 = 9729^2 + 5607^2 .

It is not an unprimeable number, because it can be changed into a prime (126091891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9192 + ... + 18348.

Almost surely, 2^126091890 is an apocalyptic number.

126091890 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 126091890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179515116).

126091890 is an abundant number, since it is smaller than the sum of its proper divisors (232938342).

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

126091890 is a wasteful number, since it uses less digits than its factorization.

126091890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 126091890 is about 11229.0645202528. The cubic root of 126091890 is about 501.4516347677.

The spelling of 126091890 in words is "one hundred twenty-six million, ninety-one thousand, eight hundred ninety".