126006624 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 39320064.

The previous prime is 126006623. The next prime is 126006637. The reversal of 126006624 is 426600621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126006623) 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, 1177579 + ... + 1177685.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^126006624 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 126006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

126006624 is an abundant number, since it is smaller than the sum of its proper divisors (265903776).

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

126006624 is a wasteful number, since it uses less digits than its factorization.

126006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126006624 is about 11225.2672128551. The cubic root of 126006624 is about 501.3385785503.

The spelling of 126006624 in words is "one hundred twenty-six million, six thousand, six hundred twenty-four".