84345300 has 252 divisors, whose sum is σ = 298848060. Its totient is φ = 20528640.

The previous prime is 84345299. The next prime is 84345319. The reversal of 84345300 is 354348.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19607184 + 64738116 = 4428^2 + 8046^2 .

It is a super-2 number, since 2×84345300² = 14228259264180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947656 + ... + 947744.

It is an arithmetic number, because the mean of its divisors is an integer number (1185905).

Almost surely, 2^84345300 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 84345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149424030).

84345300 is an abundant number, since it is smaller than the sum of its proper divisors (214502760).

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

84345300 is a wasteful number, since it uses less digits than its factorization.

84345300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 84345300 is about 9183.9697299153. The cubic root of 84345300 is about 438.5511919803.

Adding to 84345300 its reverse (354348), we get a palindrome (84699648).

The spelling of 84345300 in words is "eighty-four million, three hundred forty-five thousand, three hundred".