126091980 has 288 divisors, whose sum is σ = 482227200. Its totient is φ = 26002944.

The previous prime is 126091969. The next prime is 126091981. The reversal of 126091980 is 89190621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126091981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550506 + ... + 550734.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 2^126091980 is an apocalyptic number.

126091980 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 126091980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

126091980 is an abundant number, since it is smaller than the sum of its proper divisors (356135220).

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

126091980 is a wasteful number, since it uses less digits than its factorization.

126091980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

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

The square root of 126091980 is about 11229.0685277097. The cubic root of 126091980 is about 501.4517540739.

The spelling of 126091980 in words is "one hundred twenty-six million, ninety-one thousand, nine hundred eighty".