127384920 has 256 divisors, whose sum is σ = 470131200. Its totient is φ = 30481920.

The previous prime is 127384919. The next prime is 127384931. The reversal of 127384920 is 29483721.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603615 + ... + 603825.

It is an arithmetic number, because the mean of its divisors is an integer number (1836450).

Almost surely, 2^127384920 is an apocalyptic number.

127384920 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 127384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235065600).

127384920 is an abundant number, since it is smaller than the sum of its proper divisors (342746280).

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

127384920 is a wasteful number, since it uses less digits than its factorization.

127384920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 127384920 is about 11286.4928122070. The cubic root of 127384920 is about 503.1598815624.

The spelling of 127384920 in words is "one hundred twenty-seven million, three hundred eighty-four thousand, nine hundred twenty".