126082320 has 320 divisors, whose sum is σ = 503967744. Its totient is φ = 25344000.

The previous prime is 126082289. The next prime is 126082337. The reversal of 126082320 is 23280621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 502195 + ... + 502445.

Almost surely, 2^126082320 is an apocalyptic number.

126082320 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 126082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

126082320 is an abundant number, since it is smaller than the sum of its proper divisors (377885424).

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

126082320 is a wasteful number, since it uses less digits than its factorization.

126082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126082320 is about 11228.6383858418. The cubic root of 126082320 is about 501.4389482168.

The spelling of 126082320 in words is "one hundred twenty-six million, eighty-two thousand, three hundred twenty".