127611648 has 108 divisors (see below), whose sum is σ = 372380008. Its totient is φ = 42024960.

The previous prime is 127611647. The next prime is 127611683. The reversal of 127611648 is 846116721.

It is a happy number.

127611648 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 1 + 1 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127611643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223203 + ... + 223773.

Almost surely, 2^127611648 is an apocalyptic number.

127611648 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 127611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186190004).

127611648 is an abundant number, since it is smaller than the sum of its proper divisors (244768360).

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

127611648 is an equidigital number, since it uses as much as digits as its factorization.

127611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

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

The square root of 127611648 is about 11296.5325653494. The cubic root of 127611648 is about 503.4582235689.

The spelling of 127611648 in words is "one hundred twenty-seven million, six hundred eleven thousand, six hundred forty-eight".