84905856 has 96 divisors (see below), whose sum is σ = 279255600. Its totient is φ = 24256512.

The previous prime is 84905831. The next prime is 84905867. The reversal of 84905856 is 65850948.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2800 + ... + 13328.

Almost surely, 2^84905856 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 84905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139627800).

84905856 is an abundant number, since it is smaller than the sum of its proper divisors (194349744).

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

84905856 is a wasteful number, since it uses less digits than its factorization.

84905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10541 counting only the distinct ones).

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

The square root of 84905856 is about 9214.4373675228. The cubic root of 84905856 is about 439.5205797459.

The spelling of 84905856 in words is "eighty-four million, nine hundred five thousand, eight hundred fifty-six".