84126456 has 96 divisors (see below), whose sum is σ = 244352160. Its totient is φ = 26078976.

The previous prime is 84126403. The next prime is 84126461. The reversal of 84126456 is 65462148.

84126456 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 645 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84126456.

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 23 ways as a sum of consecutive naturals, for example, 60586 + ... + 61958.

It is an arithmetic number, because the mean of its divisors is an integer number (2545335).

Almost surely, 2^84126456 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 84126456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122176080).

84126456 is an abundant number, since it is smaller than the sum of its proper divisors (160225704).

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

84126456 is a wasteful number, since it uses less digits than its factorization.

84126456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84126456 is about 9172.0475358559. The cubic root of 84126456 is about 438.1715722404.

The spelling of 84126456 in words is "eighty-four million, one hundred twenty-six thousand, four hundred fifty-six".