127406016 has 168 divisors, whose sum is σ = 389900160. Its totient is φ = 39688704.

The previous prime is 127405997. The next prime is 127406017. The reversal of 127406016 is 610604721.

127406016 is a `hidden beast` number, since 12 + 7 + 40 + 601 + 6 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127406017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781551 + ... + 781713.

Almost surely, 2^127406016 is an apocalyptic number.

127406016 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 127406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194950080).

127406016 is an abundant number, since it is smaller than the sum of its proper divisors (262494144).

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

127406016 is a wasteful number, since it uses less digits than its factorization.

127406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 127406016 is about 11287.4273419588. The cubic root of 127406016 is about 503.1876558467.

The spelling of 127406016 in words is "one hundred twenty-seven million, four hundred six thousand, sixteen".