84345856 has 99 divisors (see below), whose sum is σ = 201037917. Its totient is φ = 35266560.

The previous prime is 84345841. The next prime is 84345887. The reversal of 84345856 is 65854348.

The square root of 84345856 is 9184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 80281600 = 2016^2 + 8960^2 .

It is a super-2 number, since 2×84345856² = 14228446848745472, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (460800) is a multiple of the sum of its prime divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2057196 + ... + 2057236.

Almost surely, 2^84345856 is an apocalyptic number.

84345856 is the 9184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84345856

84345856 is an abundant number, since it is smaller than the sum of its proper divisors (116692061).

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

84345856 is an equidigital number, since it uses as much as digits as its factorization.

84345856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 50 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The cubic root of 84345856 is about 438.5521556140.

The spelling of 84345856 in words is "eighty-four million, three hundred forty-five thousand, eight hundred fifty-six".