84814224 has 120 divisors (see below), whose sum is σ = 255296160. Its totient is φ = 24161280.

The previous prime is 84814187. The next prime is 84814231. The reversal of 84814224 is 42241848.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98307 + ... + 99165.

It is an arithmetic number, because the mean of its divisors is an integer number (2127468).

Almost surely, 2^84814224 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 84814224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127648080).

84814224 is an abundant number, since it is smaller than the sum of its proper divisors (170481936).

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

84814224 is a wasteful number, since it uses less digits than its factorization.

84814224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 892 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 84814224 is about 9209.4638280412. The cubic root of 84814224 is about 439.3624098678.

The spelling of 84814224 in words is "eighty-four million, eight hundred fourteen thousand, two hundred twenty-four".