126563328 has 132 divisors (see below), whose sum is σ = 378089088. Its totient is φ = 40734720.

The previous prime is 126563323. The next prime is 126563329. The reversal of 126563328 is 823365621.

It is a happy number.

126563328 is a `hidden beast` number, since 12 + 6 + 5 + 633 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126563292 and 126563301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126563323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285475 + ... + 285917.

Almost surely, 2^126563328 is an apocalyptic number.

126563328 is a gapful number since it is divisible by the number (18) 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 126563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189044544).

126563328 is an abundant number, since it is smaller than the sum of its proper divisors (251525760).

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

126563328 is a wasteful number, since it uses less digits than its factorization.

126563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 126563328 is about 11250.0367999398. The cubic root of 126563328 is about 502.0758074540.

The spelling of 126563328 in words is "one hundred twenty-six million, five hundred sixty-three thousand, three hundred twenty-eight".