84720416 has 48 divisors (see below), whose sum is σ = 183835008. Its totient is φ = 38112000.

The previous prime is 84720413. The next prime is 84720421. The reversal of 84720416 is 61402748.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84720413) 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 7 ways as a sum of consecutive naturals, for example, 34361 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (3829896).

Almost surely, 2^84720416 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 84720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91917504).

84720416 is an abundant number, since it is smaller than the sum of its proper divisors (99114592).

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

84720416 is a wasteful number, since it uses less digits than its factorization.

84720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 84720416 is about 9204.3693971939. The cubic root of 84720416 is about 439.2003658467.

The spelling of 84720416 in words is "eighty-four million, seven hundred twenty thousand, four hundred sixteen".