127243296 has 72 divisors (see below), whose sum is σ = 371658924. Its totient is φ = 41264640.

The previous prime is 127243279. The next prime is 127243297. The reversal of 127243296 is 692342721.

127243296 is a `hidden beast` number, since 127 + 243 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125888400 + 1354896 = 11220^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 127243296.

It is not an unprimeable number, because it can be changed into a prime (127243297) 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 11 ways as a sum of consecutive naturals, for example, 4686 + ... + 16626.

Almost surely, 2^127243296 is an apocalyptic number.

127243296 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 127243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185829462).

127243296 is an abundant number, since it is smaller than the sum of its proper divisors (244415628).

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

127243296 is a wasteful number, since it uses less digits than its factorization.

127243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11983 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 127243296 is about 11280.2170191889. The cubic root of 127243296 is about 502.9733447267.

The spelling of 127243296 in words is "one hundred twenty-seven million, two hundred forty-three thousand, two hundred ninety-six".