127534080 has 264 divisors, whose sum is σ = 449226432. Its totient is φ = 30818304.

The previous prime is 127534019. The next prime is 127534081. The reversal of 127534080 is 80435721.

It is a super-2 number, since 2×127534080² = 32529883122892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (127534081) 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, 5544949 + ... + 5544971.

Almost surely, 2^127534080 is an apocalyptic number.

127534080 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 127534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224613216).

127534080 is an abundant number, since it is smaller than the sum of its proper divisors (321692352).

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

127534080 is a wasteful number, since it uses less digits than its factorization.

127534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 127534080 is about 11293.0987775721. The cubic root of 127534080 is about 503.3561948400.

The spelling of 127534080 in words is "one hundred twenty-seven million, five hundred thirty-four thousand, eighty".