126000820 has 48 divisors (see below), whose sum is σ = 289513728. Its totient is φ = 45682560.

The previous prime is 126000817. The next prime is 126000829. The reversal of 126000820 is 28000621.

126000820 = 1938² + 1939² + ... + 1970².

It is a happy number.

126000820 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

126000820 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126000829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101242 + ... + 102478.

It is an arithmetic number, because the mean of its divisors is an integer number (6031536).

Almost surely, 2^126000820 is an apocalyptic number.

126000820 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 126000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144756864).

126000820 is an abundant number, since it is smaller than the sum of its proper divisors (163512908).

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

126000820 is a wasteful number, since it uses less digits than its factorization.

126000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 126000820 is about 11225.0086859655. The cubic root of 126000820 is about 501.3308810349.

The spelling of 126000820 in words is "one hundred twenty-six million, eight hundred twenty", and thus it is an aban number.