127167216 has 80 divisors (see below), whose sum is σ = 360298368. Its totient is φ = 38329600.

The previous prime is 127167167. The next prime is 127167251. The reversal of 127167216 is 612761721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 119326 + ... + 120386.

Almost surely, 2^127167216 is an apocalyptic number.

127167216 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 127167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180149184).

127167216 is an abundant number, since it is smaller than the sum of its proper divisors (233131152).

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

127167216 is a wasteful number, since it uses less digits than its factorization.

127167216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 127167216 is about 11276.8442394138. The cubic root of 127167216 is about 502.8730805284.

The spelling of 127167216 in words is "one hundred twenty-seven million, one hundred sixty-seven thousand, two hundred sixteen".