127918464 has 128 divisors (see below), whose sum is σ = 356167680. Its totient is φ = 40642560.

The previous prime is 127918463. The next prime is 127918513. The reversal of 127918464 is 464819721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127918463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007169 + ... + 1007295.

It is an arithmetic number, because the mean of its divisors is an integer number (2782560).

Almost surely, 2^127918464 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 127918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083840).

127918464 is an abundant number, since it is smaller than the sum of its proper divisors (228249216).

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

127918464 is a wasteful number, since it uses less digits than its factorization.

127918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 127918464 is about 11310.1045088010. The cubic root of 127918464 is about 503.8613879338.

The spelling of 127918464 in words is "one hundred twenty-seven million, nine hundred eighteen thousand, four hundred sixty-four".