84786816 has 64 divisors (see below), whose sum is σ = 237088800. Its totient is φ = 26772480.

The previous prime is 84786791. The next prime is 84786817. The reversal of 84786816 is 61868748.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84786817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486 + ... + 13106.

Almost surely, 2^84786816 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 84786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118544400).

84786816 is an abundant number, since it is smaller than the sum of its proper divisors (152301984).

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

84786816 is a wasteful number, since it uses less digits than its factorization.

84786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11645 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 84786816 is about 9207.9756732954. The cubic root of 84786816 is about 439.3150776251.

The spelling of 84786816 in words is "eighty-four million, seven hundred eighty-six thousand, eight hundred sixteen".