127870864 has 45 divisors (see below), whose sum is σ = 273383761. Its totient is φ = 57896960.

The previous prime is 127870861. The next prime is 127870867. The reversal of 127870864 is 468078721.

The square root of 127870864 is 11308.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (127870861) and next prime (127870867).

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 1982464 = 11220^2 + 1408^2 .

It is a super-3 number, since 3×127870864³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127870864.

It is not an unprimeable number, because it can be changed into a prime (127870861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 497424 + ... + 497680.

Almost surely, 2^127870864 is an apocalyptic number.

127870864 is the 11308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127870864

127870864 is an abundant number, since it is smaller than the sum of its proper divisors (145512897).

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

127870864 is an equidigital number, since it uses as much as digits as its factorization.

127870864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The cubic root of 127870864 is about 503.7988825512.

The spelling of 127870864 in words is "one hundred twenty-seven million, eight hundred seventy thousand, eight hundred sixty-four".