87205020 has 96 divisors (see below), whose sum is σ = 280293888. Its totient is φ = 19844352.

The previous prime is 87204977. The next prime is 87205033. The reversal of 87205020 is 2050278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166479 + ... + 167001.

It is an arithmetic number, because the mean of its divisors is an integer number (2919728).

Almost surely, 2^87205020 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 87205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140146944).

87205020 is an abundant number, since it is smaller than the sum of its proper divisors (193088868).

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

87205020 is a wasteful number, since it uses less digits than its factorization.

87205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 87205020 is about 9338.3628115425. The cubic root of 87205020 is about 443.4525555450.

Adding to 87205020 its reverse (2050278), we get a palindrome (89255298).

The spelling of 87205020 in words is "eighty-seven million, two hundred five thousand, twenty".