126816384 has 64 divisors (see below), whose sum is σ = 339562080. Its totient is φ = 41932800.

The previous prime is 126816373. The next prime is 126816407. The reversal of 126816384 is 483618621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×126816384³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49044 + ... + 51564.

Almost surely, 2^126816384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169781040).

126816384 is an abundant number, since it is smaller than the sum of its proper divisors (212745696).

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

126816384 is a wasteful number, since it uses less digits than its factorization.

126816384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 126816384 is about 11261.2780802181. The cubic root of 126816384 is about 502.4102084555.

The spelling of 126816384 in words is "one hundred twenty-six million, eight hundred sixteen thousand, three hundred eighty-four".