127089864 has 128 divisors (see below), whose sum is σ = 390096000. Its totient is φ = 38016000.

The previous prime is 127089829. The next prime is 127089869. The reversal of 127089864 is 468980721.

It is not an unprimeable number, because it can be changed into a prime (127089869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211164 + ... + 211764.

It is an arithmetic number, because the mean of its divisors is an integer number (3047625).

Almost surely, 2^127089864 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 127089864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195048000).

127089864 is an abundant number, since it is smaller than the sum of its proper divisors (263006136).

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

127089864 is a wasteful number, since it uses less digits than its factorization.

127089864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 127089864 is about 11273.4140347989. The cubic root of 127089864 is about 502.7710989819.

The spelling of 127089864 in words is "one hundred twenty-seven million, eighty-nine thousand, eight hundred sixty-four".