126727416 has 192 divisors, whose sum is σ = 387878400. Its totient is φ = 38631168.

The previous prime is 126727387. The next prime is 126727421. The reversal of 126727416 is 614727621.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28224) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735956 + ... + 1736028.

It is an arithmetic number, because the mean of its divisors is an integer number (2020200).

Almost surely, 2^126727416 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 126727416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939200).

126727416 is an abundant number, since it is smaller than the sum of its proper divisors (261150984).

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

126727416 is a wasteful number, since it uses less digits than its factorization.

126727416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 126727416 is about 11257.3272138639. The cubic root of 126727416 is about 502.2926923880.

The spelling of 126727416 in words is "one hundred twenty-six million, seven hundred twenty-seven thousand, four hundred sixteen".