127845984 has 288 divisors, whose sum is σ = 442423296. Its totient is φ = 31518720.

The previous prime is 127845961. The next prime is 127845997. The reversal of 127845984 is 489548721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124049 + ... + 4124079.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^127845984 is an apocalyptic number.

127845984 is a gapful number since it is divisible by the number (14) 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 127845984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

127845984 is an abundant number, since it is smaller than the sum of its proper divisors (314577312).

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

127845984 is a wasteful number, since it uses less digits than its factorization.

127845984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 127845984 is about 11306.8998403630. The cubic root of 127845984 is about 503.7662054976.

The spelling of 127845984 in words is "one hundred twenty-seven million, eight hundred forty-five thousand, nine hundred eighty-four".