84616 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 36240.

The previous prime is 84589. The next prime is 84629. The reversal of 84616 is 61648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 700 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁸⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

84616 is an abundant number, since it is smaller than the sum of its proper divisors (96824).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

84616 is a wasteful number, since it uses less digits than its factorization.

84616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1520 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 84616 is about 290.8882947112. Note that the first 3 decimals coincide. The cubic root of 84616 is about 43.9019856824.

It can be divided in two parts, 8 and 4616, that added together give a square (4624 = 68²).

The spelling of 84616 in words is "eighty-four thousand, six hundred sixteen".