127260096 has 112 divisors (see below), whose sum is σ = 360493056. Its totient is φ = 39481344.

The previous prime is 127260083. The next prime is 127260143. The reversal of 127260096 is 690062721.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414375 + ... + 414681.

It is an arithmetic number, because the mean of its divisors is an integer number (3218688).

Almost surely, 2^127260096 is an apocalyptic number.

127260096 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 127260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528).

127260096 is an abundant number, since it is smaller than the sum of its proper divisors (233232960).

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

127260096 is a wasteful number, since it uses less digits than its factorization.

127260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 127260096 is about 11280.9616611351. The cubic root of 127260096 is about 502.9954796986.

The spelling of 127260096 in words is "one hundred twenty-seven million, two hundred sixty thousand, ninety-six".