126263232 has 112 divisors (see below), whose sum is σ = 375818400. Its totient is φ = 41564160.

The previous prime is 126263219. The next prime is 126263239. The reversal of 126263232 is 232362621.

126263232 is a `hidden beast` number, since 1 + 2 + 626 + 3 + 2 + 32 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 126263196 and 126263205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126263239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153382 + ... + 154202.

Almost surely, 2^126263232 is an apocalyptic number.

126263232 is a gapful number since it is divisible by the number (12) 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 126263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187909200).

126263232 is an abundant number, since it is smaller than the sum of its proper divisors (249555168).

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

126263232 is an equidigital number, since it uses as much as digits as its factorization.

126263232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 915 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 126263232 is about 11236.6913279666. The cubic root of 126263232 is about 501.6786671792.

The spelling of 126263232 in words is "one hundred twenty-six million, two hundred sixty-three thousand, two hundred thirty-two".