127081440 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 32389632.

The previous prime is 127081411. The next prime is 127081447. The reversal of 127081440 is 44180721.

It is a super-2 number, since 2×127081440² = 32299384784947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127081447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98721 + ... + 99999.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^127081440 is an apocalyptic number.

127081440 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 127081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

127081440 is an abundant number, since it is smaller than the sum of its proper divisors (337404960).

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

127081440 is a wasteful number, since it uses less digits than its factorization.

127081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 127081440 is about 11273.0404062081. The cubic root of 127081440 is about 502.7599902090.

The spelling of 127081440 in words is "one hundred twenty-seven million, eighty-one thousand, four hundred forty".