867608820 has 180 divisors, whose sum is σ = 2948119020. Its totient is φ = 213497856.

The previous prime is 867608801. The next prime is 867608827. The reversal of 867608820 is 28806768.

It can be written as a sum of positive squares in 6 ways, for example, as 67963536 + 799645284 = 8244^2 + 28278^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867608827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 272196 + ... + 275364.

It is an arithmetic number, because the mean of its divisors is an integer number (16378439).

Almost surely, 2^867608820 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 867608820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474059510).

867608820 is an abundant number, since it is smaller than the sum of its proper divisors (2080510200).

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

867608820 is a wasteful number, since it uses less digits than its factorization.

867608820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 867608820 is about 29455.2002199951. The cubic root of 867608820 is about 953.7648643237.

The spelling of 867608820 in words is "eight hundred sixty-seven million, six hundred eight thousand, eight hundred twenty".