127825632 has 144 divisors (see below), whose sum is σ = 400628592. Its totient is φ = 38338560.

The previous prime is 127825583. The next prime is 127825661. The reversal of 127825632 is 236528721.

127825632 is a `hidden beast` number, since 12 + 7 + 8 + 2 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497248 + ... + 497504.

It is an arithmetic number, because the mean of its divisors is an integer number (2782143).

Almost surely, 2^127825632 is an apocalyptic number.

127825632 is a gapful number since it is divisible by the number (12) 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 127825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200314296).

127825632 is an abundant number, since it is smaller than the sum of its proper divisors (272802960).

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

127825632 is a wasteful number, since it uses less digits than its factorization.

127825632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 127825632 is about 11305.9998231028. Note that the first 3 decimals coincide. The cubic root of 127825632 is about 503.7394723051.

The spelling of 127825632 in words is "one hundred twenty-seven million, eight hundred twenty-five thousand, six hundred thirty-two".