84095856 has 120 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 25625088.

The previous prime is 84095813. The next prime is 84095861. The reversal of 84095856 is 65859048.

It is a super-2 number, since 2×84095856² = 14144225992745472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 312490 + ... + 312758.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^84095856 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 84095856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

84095856 is an abundant number, since it is smaller than the sum of its proper divisors (171825264).

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

84095856 is a wasteful number, since it uses less digits than its factorization.

84095856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 84095856 is about 9170.3792724183. The cubic root of 84095856 is about 438.1184392280.

The spelling of 84095856 in words is "eighty-four million, ninety-five thousand, eight hundred fifty-six".