84856100 has 72 divisors (see below), whose sum is σ = 211736448. Its totient is φ = 28915200.

The previous prime is 84856091. The next prime is 84856141. The reversal of 84856100 is 165848.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168449 + ... + 168951.

It is an arithmetic number, because the mean of its divisors is an integer number (2940784).

Almost surely, 2^84856100 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 84856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

84856100 is an abundant number, since it is smaller than the sum of its proper divisors (126880348).

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

84856100 is a wasteful number, since it uses less digits than its factorization.

84856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 84856100 is about 9211.7370783148. The cubic root of 84856100 is about 439.4347079337.

The spelling of 84856100 in words is "eighty-four million, eight hundred fifty-six thousand, one hundred".