127820160 has 256 divisors, whose sum is σ = 488376000. Its totient is φ = 31408128.

The previous prime is 127820159. The next prime is 127820191. The reversal of 127820160 is 61028721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224356 + ... + 224924.

Almost surely, 2^127820160 is an apocalyptic number.

127820160 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 127820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

127820160 is an abundant number, since it is smaller than the sum of its proper divisors (360555840).

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

127820160 is a wasteful number, since it uses less digits than its factorization.

127820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 127820160 is about 11305.7578251084. The cubic root of 127820160 is about 503.7322841231.

Adding to 127820160 its reverse (61028721), we get a palindrome (188848881).

The spelling of 127820160 in words is "one hundred twenty-seven million, eight hundred twenty thousand, one hundred sixty".