126966336 has 112 divisors (see below), whose sum is σ = 406578816. Its totient is φ = 34136064.

The previous prime is 126966331. The next prime is 126966337. The reversal of 126966336 is 633669621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×126966336² = 32240900954529792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (126966331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20070 + ... + 25626.

It is an arithmetic number, because the mean of its divisors is an integer number (3630168).

Almost surely, 2^126966336 is an apocalyptic number.

126966336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203289408).

126966336 is an abundant number, since it is smaller than the sum of its proper divisors (279612480).

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

126966336 is a wasteful number, since it uses less digits than its factorization.

126966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5586 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 126966336 is about 11267.9339721175. The cubic root of 126966336 is about 502.6081527559.

The spelling of 126966336 in words is "one hundred twenty-six million, nine hundred sixty-six thousand, three hundred thirty-six".