127596480 has 224 divisors, whose sum is σ = 453835008. Its totient is φ = 30105600.

The previous prime is 127596463. The next prime is 127596487. The reversal of 127596480 is 84695721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127596487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453940 + ... + 454220.

Almost surely, 2^127596480 is an apocalyptic number.

127596480 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 127596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226917504).

127596480 is an abundant number, since it is smaller than the sum of its proper divisors (326238528).

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

127596480 is a wasteful number, since it uses less digits than its factorization.

127596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 127596480 is about 11295.8611889488. The cubic root of 127596480 is about 503.4382756591.

The spelling of 127596480 in words is "one hundred twenty-seven million, five hundred ninety-six thousand, four hundred eighty".