126126624 has 48 divisors (see below), whose sum is σ = 356553792. Its totient is φ = 38807808.

The previous prime is 126126613. The next prime is 126126653. The reversal of 126126624 is 426621621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126126591 and 126126600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49284 + ... + 51779.

It is an arithmetic number, because the mean of its divisors is an integer number (7428204).

Almost surely, 2^126126624 is an apocalyptic number.

It is an amenable number.

126126624 is an abundant number, since it is smaller than the sum of its proper divisors (230427168).

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

126126624 is a wasteful number, since it uses less digits than its factorization.

126126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101089 (or 101081 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 126126624 is about 11230.6110252292. The cubic root of 126126624 is about 501.4976747946.

The spelling of 126126624 in words is "one hundred twenty-six million, one hundred twenty-six thousand, six hundred twenty-four".