84656916 has 72 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 26994240.

The previous prime is 84656911. The next prime is 84656933. The reversal of 84656916 is 61965648.

84656916 is a `hidden beast` number, since 84 + 6 + 569 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84656911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136455 + ... + 137073.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2^84656916 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 84656916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

84656916 is an abundant number, since it is smaller than the sum of its proper divisors (138766284).

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

84656916 is a wasteful number, since it uses less digits than its factorization.

84656916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 84656916 is about 9200.9193018959. The cubic root of 84656916 is about 439.0906079893.

The spelling of 84656916 in words is "eighty-four million, six hundred fifty-six thousand, nine hundred sixteen".