127401984 has 120 divisors (see below), whose sum is σ = 381681300. Its totient is φ = 42467328.

The previous prime is 127401947. The next prime is 127402001. The reversal of 127401984 is 489104721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (2!)⁴.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42467327 + 42467328 + 42467329.

Almost surely, 2^127401984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190840650).

127401984 is an abundant number, since it is smaller than the sum of its proper divisors (254279316).

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

127401984 is an frugal number, since it uses more digits than its factorization.

127401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 127401984 is about 11287.2487347449. The cubic root of 127401984 is about 503.1823476881.

Multiplying 127401984 by its sum of digits (36), we get a 7-th power (4586471424 = 24⁷).

The spelling of 127401984 in words is "one hundred twenty-seven million, four hundred one thousand, nine hundred eighty-four".