126305790 has 64 divisors (see below), whose sum is σ = 335313216. Its totient is φ = 30246912.

The previous prime is 126305761. The next prime is 126305791. The reversal of 126305790 is 97503621.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126305791) 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 31 ways as a sum of consecutive naturals, for example, 10054 + ... + 18806.

It is an arithmetic number, because the mean of its divisors is an integer number (5239269).

Almost surely, 2^126305790 is an apocalyptic number.

126305790 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 126305790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167656608).

126305790 is an abundant number, since it is smaller than the sum of its proper divisors (209007426).

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

126305790 is a wasteful number, since it uses less digits than its factorization.

126305790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 126305790 is about 11238.5848753302. The cubic root of 126305790 is about 501.7350257407.

The spelling of 126305790 in words is "one hundred twenty-six million, three hundred five thousand, seven hundred ninety".