127424160 has 144 divisors (see below), whose sum is σ = 439429536. Its totient is φ = 33621504.

The previous prime is 127424159. The next prime is 127424177. The reversal of 127424160 is 61424721.

It is a tau number, because it is divible by the number of its divisors (144).

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, 153667 + ... + 154493.

It is an arithmetic number, because the mean of its divisors is an integer number (3051594).

Almost surely, 2^127424160 is an apocalyptic number.

127424160 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 127424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219714768).

127424160 is an abundant number, since it is smaller than the sum of its proper divisors (312005376).

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

127424160 is a wasteful number, since it uses less digits than its factorization.

127424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127424160 is about 11288.2310394499. The cubic root of 127424160 is about 503.2115411748.

Adding to 127424160 its reverse (61424721), we get a palindrome (188848881).

The spelling of 127424160 in words is "one hundred twenty-seven million, four hundred twenty-four thousand, one hundred sixty".