127481640 has 512 divisors, whose sum is σ = 522547200. Its totient is φ = 24330240.

The previous prime is 127481639. The next prime is 127481647. The reversal of 127481640 is 46184721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (127481647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5542669 + ... + 5542691.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^127481640 is an apocalyptic number.

127481640 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 127481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

127481640 is an abundant number, since it is smaller than the sum of its proper divisors (395065560).

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

127481640 is a wasteful number, since it uses less digits than its factorization.

127481640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 127481640 is about 11290.7767669014. The cubic root of 127481640 is about 503.2871946753.

The spelling of 127481640 in words is "one hundred twenty-seven million, four hundred eighty-one thousand, six hundred forty".