87620 has 24 divisors (see below), whose sum is σ = 198744. Its totient is φ = 32256.

The previous prime is 87613. The next prime is 87623. The reversal of 87620 is 2678.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 87616 = 2^2 + 296^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (8281).

2⁸⁷⁶²⁰ 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 87620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372).

87620 is an abundant number, since it is smaller than the sum of its proper divisors (111124).

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

87620 is a wasteful number, since it uses less digits than its factorization.

87620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 87620 is about 296.0067566796. The cubic root of 87620 is about 44.4154857651.

It can be divided in two parts, 87 and 620, that added together give a palindrome (707).

The spelling of 87620 in words is "eighty-seven thousand, six hundred twenty".