127329664 has 64 divisors (see below), whose sum is σ = 316281600. Its totient is φ = 49605120.

The previous prime is 127329661. The next prime is 127329667. The reversal of 127329664 is 466923721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127329661) and next prime (127329667).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127329661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3397 + ... + 16315.

It is an arithmetic number, because the mean of its divisors is an integer number (4941900).

Almost surely, 2^127329664 is an apocalyptic number.

127329664 is a gapful number since it is divisible by the number (14) 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 127329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158140800).

127329664 is an abundant number, since it is smaller than the sum of its proper divisors (188951936).

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

127329664 is a wasteful number, since it uses less digits than its factorization.

127329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12939 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 127329664 is about 11284.0446649240. The cubic root of 127329664 is about 503.0871188331.

The spelling of 127329664 in words is "one hundred twenty-seven million, three hundred twenty-nine thousand, six hundred sixty-four".