126392832 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 40919040.

The previous prime is 126392779. The next prime is 126392869. The reversal of 126392832 is 238293621.

126392832 is a `hidden beast` number, since 12 + 639 + 2 + 8 + 3 + 2 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 566673 + ... + 566895.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^126392832 is an apocalyptic number.

126392832 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 126392832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

126392832 is an abundant number, since it is smaller than the sum of its proper divisors (258582528).

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

126392832 is an equidigital number, since it uses as much as digits as its factorization.

126392832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126392832 is about 11242.4566710306. The cubic root of 126392832 is about 501.8502540079.

The spelling of 126392832 in words is "one hundred twenty-six million, three hundred ninety-two thousand, eight hundred thirty-two".