127420416 has 144 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 40919040.

The previous prime is 127420393. The next prime is 127420421. The reversal of 127420416 is 614024721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×127420416² = 32471924827226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127420416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571281 + ... + 571503.

It is an arithmetic number, because the mean of its divisors is an integer number (2649920).

Almost surely, 2^127420416 is an apocalyptic number.

127420416 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 127420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

127420416 is an abundant number, since it is smaller than the sum of its proper divisors (254168064).

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

127420416 is a wasteful number, since it uses less digits than its factorization.

127420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127420416 is about 11288.0652017961. The cubic root of 127420416 is about 503.2066126420.

The spelling of 127420416 in words is "one hundred twenty-seven million, four hundred twenty thousand, four hundred sixteen".