87905020 has 72 divisors (see below), whose sum is σ = 226089360. Its totient is φ = 28546560.

The previous prime is 87905017. The next prime is 87905021. The reversal of 87905020 is 2050978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87905021) 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, 16260 + ... + 20980.

It is an arithmetic number, because the mean of its divisors is an integer number (3140130).

Almost surely, 2^87905020 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 87905020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113044680).

87905020 is an abundant number, since it is smaller than the sum of its proper divisors (138184340).

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

87905020 is a wasteful number, since it uses less digits than its factorization.

87905020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 87905020 is about 9375.7677019005. The cubic root of 87905020 is about 444.6359350300.

Adding to 87905020 its reverse (2050978), we get a palindrome (89955998).

The spelling of 87905020 in words is "eighty-seven million, nine hundred five thousand, twenty".