126906624 has 216 divisors, whose sum is σ = 416648960. Its totient is φ = 36827136.

The previous prime is 126906623. The next prime is 126906641. The reversal of 126906624 is 426609621.

126906624 is a `hidden beast` number, since 1 + 26 + 9 + 0 + 6 + 624 = 666.

It is a super-2 number, since 2×126906624² = 32210582430154752, which contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 126906624 = 124³ + 500³ = 307³ + 461³.

It is not an unprimeable number, because it can be changed into a prime (126906623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568977 + ... + 569199.

Almost surely, 2^126906624 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 126906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208324480).

126906624 is an abundant number, since it is smaller than the sum of its proper divisors (289742336).

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

126906624 is a wasteful number, since it uses less digits than its factorization.

126906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 126906624 is about 11265.2840177245. The cubic root of 126906624 is about 502.5293485495.

The spelling of 126906624 in words is "one hundred twenty-six million, nine hundred six thousand, six hundred twenty-four".