127922688 has 240 divisors, whose sum is σ = 413652096. Its totient is φ = 37847040.

The previous prime is 127922677. The next prime is 127922689. The reversal of 127922688 is 886229721.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127922689) 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, 1801693 + ... + 1801763.

Almost surely, 2^127922688 is an apocalyptic number.

127922688 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 127922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826048).

127922688 is an abundant number, since it is smaller than the sum of its proper divisors (285729408).

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

127922688 is a wasteful number, since it uses less digits than its factorization.

127922688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 127922688 is about 11310.2912429345. The cubic root of 127922688 is about 503.8669338808.

The spelling of 127922688 in words is "one hundred twenty-seven million, nine hundred twenty-two thousand, six hundred eighty-eight".