84986820 has 192 divisors, whose sum is σ = 281030400. Its totient is φ = 21555072.

The previous prime is 84986813. The next prime is 84986821. The reversal of 84986820 is 2868948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84986821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268427 + ... + 1268493.

It is an arithmetic number, because the mean of its divisors is an integer number (1463700).

Almost surely, 2^84986820 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 84986820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515200).

84986820 is an abundant number, since it is smaller than the sum of its proper divisors (196043580).

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

84986820 is a wasteful number, since it uses less digits than its factorization.

84986820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84986820 is about 9218.8296437238. The cubic root of 84986820 is about 439.6602404666.

84986820 divided by its sum of digits (45) gives a triangular number (1888596 = T₁₉₄₃).

The spelling of 84986820 in words is "eighty-four million, nine hundred eighty-six thousand, eight hundred twenty".