127264896 has 192 divisors, whose sum is σ = 407665440. Its totient is φ = 38100480.

The previous prime is 127264877. The next prime is 127264897. The reversal of 127264896 is 698462721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (127264897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533271 + ... + 1533353.

Almost surely, 2^127264896 is an apocalyptic number.

127264896 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 127264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203832720).

127264896 is an abundant number, since it is smaller than the sum of its proper divisors (280400544).

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

127264896 is an equidigital number, since it uses as much as digits as its factorization.

127264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 127264896 is about 11281.1744069490. The cubic root of 127264896 is about 503.0018036184.

The spelling of 127264896 in words is "one hundred twenty-seven million, two hundred sixty-four thousand, eight hundred ninety-six".