127213632 has 224 divisors, whose sum is σ = 460857600. Its totient is φ = 33509376.

The previous prime is 127213627. The next prime is 127213643. The reversal of 127213632 is 236312721.

127213632 is a `hidden beast` number, since 1 + 2 + 7 + 21 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×127213632³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 127213596 and 127213605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156844 + ... + 157652.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^127213632 is an apocalyptic number.

127213632 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 127213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

127213632 is an abundant number, since it is smaller than the sum of its proper divisors (333643968).

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

127213632 is a wasteful number, since it uses less digits than its factorization.

127213632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 127213632 is about 11278.9020742269. The cubic root of 127213632 is about 502.9342559329.

The spelling of 127213632 in words is "one hundred twenty-seven million, two hundred thirteen thousand, six hundred thirty-two".