126593220 has 96 divisors (see below), whose sum is σ = 404224128. Its totient is φ = 29325312.

The previous prime is 126593191. The next prime is 126593221. The reversal of 126593220 is 22395621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126593221) 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 31 ways as a sum of consecutive naturals, for example, 8487 + ... + 18033.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 2^126593220 is an apocalyptic number.

126593220 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 126593220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112064).

126593220 is an abundant number, since it is smaller than the sum of its proper divisors (277630908).

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

126593220 is a wasteful number, since it uses less digits than its factorization.

126593220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 126593220 is about 11251.3652504929. The cubic root of 126593220 is about 502.1153314585.

The spelling of 126593220 in words is "one hundred twenty-six million, five hundred ninety-three thousand, two hundred twenty".