127825920 has 288 divisors, whose sum is σ = 472726800. Its totient is φ = 31850496.

The previous prime is 127825913. The next prime is 127825933. The reversal of 127825920 is 29528721.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1751004 + ... + 1751076.

Almost surely, 2^127825920 is an apocalyptic number.

127825920 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 127825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236363400).

127825920 is an abundant number, since it is smaller than the sum of its proper divisors (344900880).

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

127825920 is a wasteful number, since it uses less digits than its factorization.

127825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 127825920 is about 11306.0125596958. The cubic root of 127825920 is about 503.7398506248.

The spelling of 127825920 in words is "one hundred twenty-seven million, eight hundred twenty-five thousand, nine hundred twenty".