127312864 has 96 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 50485248.

The previous prime is 127312859. The next prime is 127312883. The reversal of 127312864 is 468213721.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 254887 + ... + 255385.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^127312864 is an apocalyptic number.

127312864 is a gapful number since it is divisible by the number (14) 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 127312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

127312864 is an abundant number, since it is smaller than the sum of its proper divisors (181135136).

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

127312864 is a wasteful number, since it uses less digits than its factorization.

127312864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 127312864 is about 11283.3002264408. The cubic root of 127312864 is about 503.0649919249.

The spelling of 127312864 in words is "one hundred twenty-seven million, three hundred twelve thousand, eight hundred sixty-four".