126823320 has 160 divisors (see below), whose sum is σ = 459209520. Its totient is φ = 31207680.

The previous prime is 126823313. The next prime is 126823321. The reversal of 126823320 is 23328621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126823321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40615 + ... + 43625.

Almost surely, 2^126823320 is an apocalyptic number.

126823320 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 126823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229604760).

126823320 is an abundant number, since it is smaller than the sum of its proper divisors (332386200).

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

126823320 is a wasteful number, since it uses less digits than its factorization.

126823320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126823320 is about 11261.5860339474. The cubic root of 126823320 is about 502.4193677707.

The spelling of 126823320 in words is "one hundred twenty-six million, eight hundred twenty-three thousand, three hundred twenty".