127352960 has 192 divisors, whose sum is σ = 368375040. Its totient is φ = 41932800.

The previous prime is 127352941. The next prime is 127352963. The reversal of 127352960 is 69253721.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 127352960.

It is not an unprimeable number, because it can be changed into a prime (127352963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972095 + ... + 972225.

It is an arithmetic number, because the mean of its divisors is an integer number (1918620).

Almost surely, 2^127352960 is an apocalyptic number.

127352960 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 127352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

127352960 is an abundant number, since it is smaller than the sum of its proper divisors (241022080).

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

127352960 is a wasteful number, since it uses less digits than its factorization.

127352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 127352960 is about 11285.0768716921. The cubic root of 127352960 is about 503.1177982586.

The spelling of 127352960 in words is "one hundred twenty-seven million, three hundred fifty-two thousand, nine hundred sixty".