127068480 has 448 divisors, whose sum is σ = 561807360. Its totient is φ = 26265600.

The previous prime is 127068439. The next prime is 127068493. The reversal of 127068480 is 84860721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×127068480² = 32292797219020800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 665185 + ... + 665375.

Almost surely, 2^127068480 is an apocalyptic number.

127068480 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 127068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

127068480 is an abundant number, since it is smaller than the sum of its proper divisors (434738880).

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

127068480 is a wasteful number, since it uses less digits than its factorization.

127068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127068480 is about 11272.4655688097. The cubic root of 127068480 is about 502.7428988304.

The spelling of 127068480 in words is "one hundred twenty-seven million, sixty-eight thousand, four hundred eighty".