127266048 has 216 divisors, whose sum is σ = 452361728. Its totient is φ = 33509376.

The previous prime is 127266011. The next prime is 127266049. The reversal of 127266048 is 840662721.

127266048 is a `hidden beast` number, since 1 + 27 + 26 + 604 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127266049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209361 + ... + 209967.

Almost surely, 2^127266048 is an apocalyptic number.

127266048 is a gapful number since it is divisible by the number (18) 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 127266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226180864).

127266048 is an abundant number, since it is smaller than the sum of its proper divisors (325095680).

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

127266048 is a wasteful number, since it uses less digits than its factorization.

127266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 127266048 is about 11281.2254653473. The cubic root of 127266048 is about 503.0033213355.

The spelling of 127266048 in words is "one hundred twenty-seven million, two hundred sixty-six thousand, forty-eight".