84861500 has 48 divisors (see below), whose sum is σ = 187518240. Its totient is φ = 33545600.

The previous prime is 84861487. The next prime is 84861503. The reversal of 84861500 is 516848.

It is a super-3 number, since 3×84861500³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84861503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43547 + ... + 45453.

It is an arithmetic number, because the mean of its divisors is an integer number (3906630).

Almost surely, 2^84861500 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 84861500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120).

84861500 is an abundant number, since it is smaller than the sum of its proper divisors (102656740).

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

84861500 is a wasteful number, since it uses less digits than its factorization.

84861500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 84861500 is about 9212.0301779792. The cubic root of 84861500 is about 439.4440291928. Note that the first 3 decimals are identical.

The spelling of 84861500 in words is "eighty-four million, eight hundred sixty-one thousand, five hundred".