127954960 has 80 divisors (see below), whose sum is σ = 351763200. Its totient is φ = 42352128.

The previous prime is 127954933. The next prime is 127954963. The reversal of 127954960 is 69459721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (127954963) 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, 12301 + ... + 20179.

It is an arithmetic number, because the mean of its divisors is an integer number (4397040).

Almost surely, 2^127954960 is an apocalyptic number.

127954960 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 127954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175881600).

127954960 is an abundant number, since it is smaller than the sum of its proper divisors (223808240).

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

127954960 is a wasteful number, since it uses less digits than its factorization.

127954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 127954960 is about 11311.7178182626. The cubic root of 127954960 is about 503.9093017274.

The spelling of 127954960 in words is "one hundred twenty-seven million, nine hundred fifty-four thousand, nine hundred sixty".