127051416 has 80 divisors (see below), whose sum is σ = 360023400. Its totient is φ = 41855616.

The previous prime is 127051411. The next prime is 127051453. The reversal of 127051416 is 614150721.

It is a happy number.

It is a super-2 number, since 2×127051416² = 32284124615210112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 127051416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127051411) 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 19 ways as a sum of consecutive naturals, for example, 56571 + ... + 58773.

Almost surely, 2^127051416 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 127051416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180011700).

127051416 is an abundant number, since it is smaller than the sum of its proper divisors (232971984).

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

127051416 is a wasteful number, since it uses less digits than its factorization.

127051416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 127051416 is about 11271.7086548580. The cubic root of 127051416 is about 502.7203934096.

The spelling of 127051416 in words is "one hundred twenty-seven million, fifty-one thousand, four hundred sixteen".