126531584 has 48 divisors (see below), whose sum is σ = 261293760. Its totient is φ = 61194240.

The previous prime is 126531569. The next prime is 126531589. The reversal of 126531584 is 485135621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126531589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62492 + ... + 64484.

It is an arithmetic number, because the mean of its divisors is an integer number (5443620).

Almost surely, 2^126531584 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 126531584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130646880).

126531584 is an abundant number, since it is smaller than the sum of its proper divisors (134762176).

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

126531584 is an equidigital number, since it uses as much as digits as its factorization.

126531584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2026 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 126531584 is about 11248.6258716343. The cubic root of 126531584 is about 502.0338278713.

The spelling of 126531584 in words is "one hundred twenty-six million, five hundred thirty-one thousand, five hundred eighty-four".