84845300 has 72 divisors (see below), whose sum is σ = 201783960. Its totient is φ = 30822400.

The previous prime is 84845281. The next prime is 84845303. The reversal of 84845300 is 354848.

It can be written as a sum of positive squares in 12 ways, for example, as 5207524 + 79637776 = 2282^2 + 8924^2 .

It is a super-3 number, since 3×84845300³ (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 (84845303) 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 23 ways as a sum of consecutive naturals, for example, 48440 + ... + 50160.

It is an arithmetic number, because the mean of its divisors is an integer number (2802555).

Almost surely, 2^84845300 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 84845300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100891980).

84845300 is an abundant number, since it is smaller than the sum of its proper divisors (116938660).

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

84845300 is a wasteful number, since it uses less digits than its factorization.

84845300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 84845300 is about 9211.1508510066. The cubic root of 84845300 is about 439.4160642290.

The spelling of 84845300 in words is "eighty-four million, eight hundred forty-five thousand, three hundred".