84185220 has 96 divisors (see below), whose sum is σ = 270885888. Its totient is φ = 19135872.

The previous prime is 84185203. The next prime is 84185251. The reversal of 84185220 is 2258148.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94899 + ... + 95781.

It is an arithmetic number, because the mean of its divisors is an integer number (2821728).

Almost surely, 2^84185220 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 84185220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135442944).

84185220 is an abundant number, since it is smaller than the sum of its proper divisors (186700668).

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

84185220 is a wasteful number, since it uses less digits than its factorization.

84185220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 84185220 is about 9175.2504053023. The cubic root of 84185220 is about 438.2735723424.

The spelling of 84185220 in words is "eighty-four million, one hundred eighty-five thousand, two hundred twenty".