126511416 has 128 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 39237120.

The previous prime is 126511391. The next prime is 126511439. The reversal of 126511416 is 614115621.

126511416 is a `hidden beast` number, since 1 + 2 + 651 + 1 + 4 + 1 + 6 = 666.

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 126511416.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 480901 + ... + 481163.

It is an arithmetic number, because the mean of its divisors is an integer number (2940300).

Almost surely, 2^126511416 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 126511416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

126511416 is an abundant number, since it is smaller than the sum of its proper divisors (249846984).

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

126511416 is a wasteful number, since it uses less digits than its factorization.

126511416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 126511416 is about 11247.7293708553. The cubic root of 126511416 is about 502.0071532237.

The spelling of 126511416 in words is "one hundred twenty-six million, five hundred eleven thousand, four hundred sixteen".