126085824 has 168 divisors, whose sum is σ = 391088880. Its totient is φ = 38707200.

The previous prime is 126085807. The next prime is 126085829. The reversal of 126085824 is 428580621.

126085824 is a `hidden beast` number, since 12 + 60 + 8 + 582 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126085829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448564 + ... + 448844.

It is an arithmetic number, because the mean of its divisors is an integer number (2327910).

Almost surely, 2^126085824 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 126085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195544440).

126085824 is an abundant number, since it is smaller than the sum of its proper divisors (265003056).

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

126085824 is a wasteful number, since it uses less digits than its factorization.

126085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 126085824 is about 11228.7944143617. The cubic root of 126085824 is about 501.4435933983.

The spelling of 126085824 in words is "one hundred twenty-six million, eighty-five thousand, eight hundred twenty-four".