127094016 has 144 divisors (see below), whose sum is σ = 395587584. Its totient is φ = 35469312.

The previous prime is 127093997. The next prime is 127094027. The reversal of 127094016 is 610490721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252421 + ... + 252923.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^127094016 is an apocalyptic number.

127094016 is a gapful number since it is divisible by the number (16) 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 127094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197793792).

127094016 is an abundant number, since it is smaller than the sum of its proper divisors (268493568).

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

127094016 is an equidigital number, since it uses as much as digits as its factorization.

127094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 127094016 is about 11273.5981833663. The cubic root of 127094016 is about 502.7765740654.

The spelling of 127094016 in words is "one hundred twenty-seven million, ninety-four thousand, sixteen".