127364016 has 80 divisors (see below), whose sum is σ = 355914720. Its totient is φ = 39014400.

The previous prime is 127364009. The next prime is 127364021. The reversal of 127364016 is 610463721.

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, 249970 + ... + 250478.

It is an arithmetic number, because the mean of its divisors is an integer number (4448934).

Almost surely, 2^127364016 is an apocalyptic number.

127364016 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 127364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177957360).

127364016 is an abundant number, since it is smaller than the sum of its proper divisors (228550704).

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

127364016 is a wasteful number, since it uses less digits than its factorization.

127364016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 127364016 is about 11285.5667115125. The cubic root of 127364016 is about 503.1323570340.

The spelling of 127364016 in words is "one hundred twenty-seven million, three hundred sixty-four thousand, sixteen".