127824480 has 240 divisors, whose sum is σ = 515924640. Its totient is φ = 29196288.

The previous prime is 127824461. The next prime is 127824481. The reversal of 127824480 is 84428721.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127824481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90016 + ... + 91424.

It is an arithmetic number, because the mean of its divisors is an integer number (2149686).

Almost surely, 2^127824480 is an apocalyptic number.

127824480 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 127824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257962320).

127824480 is an abundant number, since it is smaller than the sum of its proper divisors (388100160).

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

127824480 is a wasteful number, since it uses less digits than its factorization.

127824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 127824480 is about 11305.9488765871. The cubic root of 127824480 is about 503.7379590207.

The spelling of 127824480 in words is "one hundred twenty-seven million, eight hundred twenty-four thousand, four hundred eighty".