127651968 has 96 divisors (see below), whose sum is σ = 380097900. Its totient is φ = 41072640.

The previous prime is 127651949. The next prime is 127651991. The reversal of 127651968 is 869156721.

127651968 is a `hidden beast` number, since 1 + 2 + 76 + 519 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 7354944 = 10968^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31498 + ... + 35318.

Almost surely, 2^127651968 is an apocalyptic number.

127651968 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 127651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190048950).

127651968 is an abundant number, since it is smaller than the sum of its proper divisors (252445932).

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

127651968 is a wasteful number, since it uses less digits than its factorization.

127651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3855 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 127651968 is about 11298.3170428166. The cubic root of 127651968 is about 503.5112419736.

The spelling of 127651968 in words is "one hundred twenty-seven million, six hundred fifty-one thousand, nine hundred sixty-eight".