127904260 has 72 divisors (see below), whose sum is σ = 312704280. Its totient is φ = 43760640.

The previous prime is 127904221. The next prime is 127904281. The reversal of 127904260 is 62409721.

It can be written as a sum of positive squares in 4 ways, for example, as 10745284 + 117158976 = 3278^2 + 10824^2 .

It is a super-2 number, since 2×127904260² = 32718999452295200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39586 + ... + 42694.

It is an arithmetic number, because the mean of its divisors is an integer number (4343115).

Almost surely, 2^127904260 is an apocalyptic number.

127904260 is a gapful number since it is divisible by the number (10) 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 127904260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156352140).

127904260 is an abundant number, since it is smaller than the sum of its proper divisors (184800020).

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

127904260 is a wasteful number, since it uses less digits than its factorization.

127904260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 127904260 is about 11309.4765572948. The cubic root of 127904260 is about 503.8427377409.

It can be divided in two parts, 127904 and 260, that added together give a square (128164 = 358²).

The spelling of 127904260 in words is "one hundred twenty-seven million, nine hundred four thousand, two hundred sixty".