127969632 has 144 divisors (see below), whose sum is σ = 431488512. Its totient is φ = 36547200.

The previous prime is 127969627. The next prime is 127969637. The reversal of 127969632 is 236969721.

It is a happy number.

127969632 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 6 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (127969627) and next prime (127969637).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127969637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53257 + ... + 55607.

It is an arithmetic number, because the mean of its divisors is an integer number (2996448).

Almost surely, 2^127969632 is an apocalyptic number.

127969632 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 127969632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215744256).

127969632 is an abundant number, since it is smaller than the sum of its proper divisors (303518880).

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

127969632 is an equidigital number, since it uses as much as digits as its factorization.

127969632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2363 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 127969632 is about 11312.3663307020. The cubic root of 127969632 is about 503.9285613031.

The spelling of 127969632 in words is "one hundred twenty-seven million, nine hundred sixty-nine thousand, six hundred thirty-two".