127008864 has 192 divisors, whose sum is σ = 396446400. Its totient is φ = 39481344.

The previous prime is 127008851. The next prime is 127008877. The reversal of 127008864 is 468800721.

It is an interprime number because it is at equal distance from previous prime (127008851) and next prime (127008877).

It is a super-2 number, since 2×127008864² = 32262503069140992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927004 + ... + 927140.

It is an arithmetic number, because the mean of its divisors is an integer number (2064825).

Almost surely, 2^127008864 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 127008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198223200).

127008864 is an abundant number, since it is smaller than the sum of its proper divisors (269437536).

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

127008864 is a wasteful number, since it uses less digits than its factorization.

127008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127008864 is about 11269.8209391276. The cubic root of 127008864 is about 502.6642635175.

The spelling of 127008864 in words is "one hundred twenty-seven million, eight thousand, eight hundred sixty-four".