8061300 has 162 divisors, whose sum is σ = 27877122. Its totient is φ = 1946880.

The previous prime is 8061289. The next prime is 8061323. The reversal of 8061300 is 31608.

It can be written as a sum of positive squares in 9 ways, for example, as 4235364 + 3825936 = 2058^2 + 1956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 152074 + ... + 152126.

It is an arithmetic number, because the mean of its divisors is an integer number (172081).

Almost surely, 2^8061300 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 8061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938561).

8061300 is an abundant number, since it is smaller than the sum of its proper divisors (19815822).

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

8061300 is a wasteful number, since it uses less digits than its factorization.

8061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8061300 is about 2839.2428568194. The cubic root of 8061300 is about 200.5095341059.

Adding to 8061300 its reverse (31608), we get a palindrome (8092908).

The spelling of 8061300 in words is "eight million, sixty-one thousand, three hundred".