84616224 has 96 divisors (see below), whose sum is σ = 276950016. Its totient is φ = 21976320.

The previous prime is 84616223. The next prime is 84616283. The reversal of 84616224 is 42261648.

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 (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84616223) 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, 1669 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (2884896).

Almost surely, 2^84616224 is an apocalyptic number.

84616224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84616224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475008).

84616224 is an abundant number, since it is smaller than the sum of its proper divisors (192333792).

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

84616224 is a wasteful number, since it uses less digits than its factorization.

84616224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478 (or 11470 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 84616224 is about 9198.7077353289. The cubic root of 84616224 is about 439.0202442222.

The spelling of 84616224 in words is "eighty-four million, six hundred sixteen thousand, two hundred twenty-four".