127448640 has 336 divisors, whose sum is σ = 499262400. Its totient is φ = 30689280.

The previous prime is 127448639. The next prime is 127448641. The reversal of 127448640 is 46844721.

127448640 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (127448639) and next prime (127448641).

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

It is a junction number, because it is equal to n+sod(n) for n = 127448595 and 127448604.

It is not an unprimeable number, because it can be changed into a prime (127448641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855286 + ... + 855434.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^127448640 is an apocalyptic number.

127448640 is a gapful number since it is divisible by the number (10) 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 127448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

127448640 is an abundant number, since it is smaller than the sum of its proper divisors (371813760).

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

127448640 is a wasteful number, since it uses less digits than its factorization.

127448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 127448640 is about 11289.3153025327. The cubic root of 127448640 is about 503.2437638181.

The spelling of 127448640 in words is "one hundred twenty-seven million, four hundred forty-eight thousand, six hundred forty".