127198080 has 256 divisors, whose sum is σ = 478094400. Its totient is φ = 31850496.

The previous prime is 127198079. The next prime is 127198129. The reversal of 127198080 is 80891721.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 293544 + ... + 293976.

Almost surely, 2^127198080 is an apocalyptic number.

127198080 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 127198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

127198080 is an abundant number, since it is smaller than the sum of its proper divisors (350896320).

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

127198080 is a wasteful number, since it uses less digits than its factorization.

127198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 127198080 is about 11278.2126243479. The cubic root of 127198080 is about 502.9137603508.

The spelling of 127198080 in words is "one hundred twenty-seven million, one hundred ninety-eight thousand, eighty".