127913688 has 128 divisors (see below), whose sum is σ = 419328000. Its totient is φ = 35354880.

The previous prime is 127913683. The next prime is 127913689. The reversal of 127913688 is 886319721.

It is a super-2 number, since 2×127913688² = 32723823155522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127913683) 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, 45508 + ... + 48236.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^127913688 is an apocalyptic number.

127913688 is a gapful number since it is divisible by the number (18) 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 127913688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

127913688 is an abundant number, since it is smaller than the sum of its proper divisors (291414312).

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

127913688 is a wasteful number, since it uses less digits than its factorization.

127913688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 127913688 is about 11309.8933681976. The cubic root of 127913688 is about 503.8551170852.

The spelling of 127913688 in words is "one hundred twenty-seven million, nine hundred thirteen thousand, six hundred eighty-eight".