126057660 has 96 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 32739840.

The previous prime is 126057653. The next prime is 126057667. The reversal of 126057660 is 66750621.

It is an interprime number because it is at equal distance from previous prime (126057653) and next prime (126057667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126057667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540904 + ... + 541136.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2^126057660 is an apocalyptic number.

126057660 is a gapful number since it is divisible by the number (10) 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 126057660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

126057660 is an abundant number, since it is smaller than the sum of its proper divisors (236241732).

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

126057660 is a wasteful number, since it uses less digits than its factorization.

126057660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 126057660 is about 11227.5402470889. The cubic root of 126057660 is about 501.4062545219.

The spelling of 126057660 in words is "one hundred twenty-six million, fifty-seven thousand, six hundred sixty".