127967904 has 96 divisors (see below), whose sum is σ = 383423040. Its totient is φ = 41492736.

The previous prime is 127967897. The next prime is 127967933. The reversal of 127967904 is 409769721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 127967904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29967 + ... + 33969.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^127967904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127967904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711520).

127967904 is an abundant number, since it is smaller than the sum of its proper divisors (255455136).

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

127967904 is a wasteful number, since it uses less digits than its factorization.

127967904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 127967904 is about 11312.2899538511. The cubic root of 127967904 is about 503.9262930762.

The spelling of 127967904 in words is "one hundred twenty-seven million, nine hundred sixty-seven thousand, nine hundred four".