86100820 has 72 divisors (see below), whose sum is σ = 200598552. Its totient is φ = 30858240.

The previous prime is 86100811. The next prime is 86100823. The reversal of 86100820 is 2800168.

It can be written as a sum of positive squares in 12 ways, for example, as 52969284 + 33131536 = 7278^2 + 5756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86100823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436962 + ... + 437158.

It is an arithmetic number, because the mean of its divisors is an integer number (2786091).

Almost surely, 2^86100820 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 86100820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100299276).

86100820 is an abundant number, since it is smaller than the sum of its proper divisors (114497732).

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

86100820 is a wasteful number, since it uses less digits than its factorization.

86100820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 86100820 is about 9279.0527533795. The cubic root of 86100820 is about 441.5729172484.

Adding to 86100820 its reverse (2800168), we get a palindrome (88900988).

The spelling of 86100820 in words is "eighty-six million, one hundred thousand, eight hundred twenty".