87205820 has 96 divisors (see below), whose sum is σ = 210739200. Its totient is φ = 30046464.

The previous prime is 87205817. The next prime is 87205823. The reversal of 87205820 is 2850278.

It is an interprime number because it is at equal distance from previous prime (87205817) and next prime (87205823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87205823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627311 + ... + 627449.

It is an arithmetic number, because the mean of its divisors is an integer number (2195200).

Almost surely, 2^87205820 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 87205820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105369600).

87205820 is an abundant number, since it is smaller than the sum of its proper divisors (123533380).

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

87205820 is a wasteful number, since it uses less digits than its factorization.

87205820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 87205820 is about 9338.4056455050. The cubic root of 87205820 is about 443.4539115868.

The spelling of 87205820 in words is "eighty-seven million, two hundred five thousand, eight hundred twenty".