127951680 has 56 divisors (see below), whose sum is σ = 406249632. Its totient is φ = 34120192.

The previous prime is 127951679. The next prime is 127951711. The reversal of 127951680 is 86159721.

It is a super-3 number, since 3×127951680³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65682 + ... + 67601.

Almost surely, 2^127951680 is an apocalyptic number.

127951680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127951680 is an abundant number, since it is smaller than the sum of its proper divisors (278297952).

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

127951680 is a wasteful number, since it uses less digits than its factorization.

127951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133303 (or 133293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 127951680 is about 11311.5728349333. The cubic root of 127951680 is about 503.9049959502.

The spelling of 127951680 in words is "one hundred twenty-seven million, nine hundred fifty-one thousand, six hundred eighty".