126830320 has 80 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 47692800.

The previous prime is 126830309. The next prime is 126830351. The reversal of 126830320 is 23038621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274890 + ... + 275350.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2^126830320 is an apocalyptic number.

126830320 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 126830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

126830320 is an abundant number, since it is smaller than the sum of its proper divisors (185962160).

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

126830320 is a wasteful number, since it uses less digits than its factorization.

126830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 126830320 is about 11261.8968206959. The cubic root of 126830320 is about 502.4286112622.

Adding to 126830320 its reverse (23038621), we get a palindrome (149868941).

The spelling of 126830320 in words is "one hundred twenty-six million, eight hundred thirty thousand, three hundred twenty".