127161648 has 60 divisors (see below), whose sum is σ = 358492680. Its totient is φ = 42075648.

The previous prime is 127161631. The next prime is 127161653. The reversal of 127161648 is 846161721.

It is a happy number.

127161648 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16840 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (5974878).

Almost surely, 2^127161648 is an apocalyptic number.

127161648 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 127161648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179246340).

127161648 is an abundant number, since it is smaller than the sum of its proper divisors (231331032).

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

127161648 is a wasteful number, since it uses less digits than its factorization.

127161648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6497 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 127161648 is about 11276.5973591328. The cubic root of 127161648 is about 502.8657410105.

The spelling of 127161648 in words is "one hundred twenty-seven million, one hundred sixty-one thousand, six hundred forty-eight".