127768464 has 240 divisors, whose sum is σ = 414348480. Its totient is φ = 36495360.

The previous prime is 127768463. The next prime is 127768507. The reversal of 127768464 is 464867721.

127768464 is a `hidden beast` number, since 127 + 7 + 68 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127768463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906959 + ... + 1907025.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^127768464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

127768464 is an abundant number, since it is smaller than the sum of its proper divisors (286580016).

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

127768464 is a wasteful number, since it uses less digits than its factorization.

127768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 127768464 is about 11303.4713252169. The cubic root of 127768464 is about 503.6643645929.

The spelling of 127768464 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, four hundred sixty-four".