127890625 has 16 divisors (see below), whose sum is σ = 159960528. Its totient is φ = 102250000.

The previous prime is 127890617. The next prime is 127890629. The reversal of 127890625 is 526098721.

It can be written as a sum of positive squares in 8 ways, for example, as 61842496 + 66048129 = 7864^2 + 8127^2 .

It is not a de Polignac number, because 127890625 - 2³ = 127890617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127890629) 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, 77307 + ... + 78943.

It is an arithmetic number, because the mean of its divisors is an integer number (9997533).

Almost surely, 2^127890625 is an apocalyptic number.

It is an amenable number.

127890625 is a deficient number, since it is larger than the sum of its proper divisors (32069903).

127890625 is an frugal number, since it uses more digits than its factorization.

127890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 127890625 is about 11308.8737281835. The cubic root of 127890625 is about 503.8248333598.

The spelling of 127890625 in words is "one hundred twenty-seven million, eight hundred ninety thousand, six hundred twenty-five".