84515616 has 96 divisors (see below), whose sum is σ = 257281920. Its totient is φ = 26940672.

The previous prime is 84515611. The next prime is 84515621. The reversal of 84515616 is 61651548.

84515616 is a `hidden beast` number, since 84 + 515 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (84515611) and next prime (84515621).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84515611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17746 + ... + 21998.

It is an arithmetic number, because the mean of its divisors is an integer number (2680020).

Almost surely, 2^84515616 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 84515616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128640960).

84515616 is an abundant number, since it is smaller than the sum of its proper divisors (172766304).

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

84515616 is a wasteful number, since it uses less digits than its factorization.

84515616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 84515616 is about 9193.2375146082. The cubic root of 84515616 is about 438.8461780533.

It can be divided in two parts, 845 and 15616, that added together give a palindrome (16461).

The spelling of 84515616 in words is "eighty-four million, five hundred fifteen thousand, six hundred sixteen".