127208960 has 160 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 46006272.

The previous prime is 127208953. The next prime is 127208987. The reversal of 127208960 is 69802721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 127208960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610201 + ... + 1610279.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^127208960 is an apocalyptic number.

127208960 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 127208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

127208960 is an abundant number, since it is smaller than the sum of its proper divisors (208662400).

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

127208960 is an equidigital number, since it uses as much as digits as its factorization.

127208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 127208960 is about 11278.6949599677. The cubic root of 127208960 is about 502.9280989994.

The spelling of 127208960 in words is "one hundred twenty-seven million, two hundred eight thousand, nine hundred sixty".