127915920 has 240 divisors, whose sum is σ = 484683264. Its totient is φ = 29952000.

The previous prime is 127915913. The next prime is 127915933. The reversal of 127915920 is 29519721.

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 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 47 ways as a sum of consecutive naturals, for example, 245260 + ... + 245780.

Almost surely, 2^127915920 is an apocalyptic number.

127915920 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 127915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242341632).

127915920 is an abundant number, since it is smaller than the sum of its proper divisors (356767344).

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

127915920 is a wasteful number, since it uses less digits than its factorization.

127915920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 127915920 is about 11309.9920424375. The cubic root of 127915920 is about 503.8580477022.

The spelling of 127915920 in words is "one hundred twenty-seven million, nine hundred fifteen thousand, nine hundred twenty".