126996624 has 60 divisors (see below), whose sum is σ = 360746256. Its totient is φ = 41697216.

The previous prime is 126996619. The next prime is 126996643. The reversal of 126996624 is 426699621.

126996624 is a `hidden beast` number, since 12 + 6 + 9 + 9 + 6 + 624 = 666.

It is a super-2 number, since 2×126996624² = 32256285014794752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126996624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3067 + ... + 16229.

Almost surely, 2^126996624 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 126996624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180373128).

126996624 is an abundant number, since it is smaller than the sum of its proper divisors (233749632).

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

126996624 is a wasteful number, since it uses less digits than its factorization.

126996624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244 (or 13235 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 126996624 is about 11269.2778828104. The cubic root of 126996624 is about 502.6481155416.

The spelling of 126996624 in words is "one hundred twenty-six million, nine hundred ninety-six thousand, six hundred twenty-four".