126763328 has 42 divisors (see below), whose sum is σ = 255386586. Its totient is φ = 62426368.

The previous prime is 126763319. The next prime is 126763331. The reversal of 126763328 is 823367621.

It can be written as a sum of positive squares in only one way, i.e., 123832384 + 2930944 = 11128^2 + 1712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126763291 and 126763300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732650 + ... + 732822.

It is an arithmetic number, because the mean of its divisors is an integer number (6080633).

Almost surely, 2^126763328 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 126763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127693293).

126763328 is an abundant number, since it is smaller than the sum of its proper divisors (128623258).

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

126763328 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (126763329) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (282).

126763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 282 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 126763328 is about 11258.9221508988. The cubic root of 126763328 is about 502.3401344547.

The spelling of 126763328 in words is "one hundred twenty-six million, seven hundred sixty-three thousand, three hundred twenty-eight".