127953966 has 32 divisors (see below), whose sum is σ = 297266688. Its totient is φ = 35958240.

The previous prime is 127953937. The next prime is 127953967. The reversal of 127953966 is 669359721.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127953967) 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 15 ways as a sum of consecutive naturals, for example, 22410 + ... + 27533.

It is an arithmetic number, because the mean of its divisors is an integer number (9289584).

Almost surely, 2^127953966 is an apocalyptic number.

127953966 is an abundant number, since it is smaller than the sum of its proper divisors (169312722).

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

127953966 is a wasteful number, since it uses less digits than its factorization.

127953966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50016.

The product of its digits is 612360, while the sum is 48.

The square root of 127953966 is about 11311.6738814377. The cubic root of 127953966 is about 503.9079968747.

It can be divided in two parts, 12795 and 3966, that added together give a palindrome (16761).

The spelling of 127953966 in words is "one hundred twenty-seven million, nine hundred fifty-three thousand, nine hundred sixty-six".