126060032 has 80 divisors (see below), whose sum is σ = 304935840. Its totient is φ = 50823168.

The previous prime is 126060029. The next prime is 126060037. The reversal of 126060032 is 230060621.

It is a super-2 number, since 2×126060032² = 31782263335682048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126059986 and 126060013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126060037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59894 + ... + 61962.

It is an arithmetic number, because the mean of its divisors is an integer number (3811698).

Almost surely, 2^126060032 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 126060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467920).

126060032 is an abundant number, since it is smaller than the sum of its proper divisors (178875808).

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

126060032 is an equidigital number, since it uses as much as digits as its factorization.

126060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 126060032 is about 11227.6458797025. The cubic root of 126060032 is about 501.4093994535.

The spelling of 126060032 in words is "one hundred twenty-six million, sixty thousand, thirty-two".