87605620 has 72 divisors (see below), whose sum is σ = 198446976. Its totient is φ = 32421312.

The previous prime is 87605591. The next prime is 87605627. The reversal of 87605620 is 2650678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87605627) 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, 850489 + ... + 850591.

It is an arithmetic number, because the mean of its divisors is an integer number (2756208).

Almost surely, 2^87605620 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 87605620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99223488).

87605620 is an abundant number, since it is smaller than the sum of its proper divisors (110841356).

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

87605620 is a wasteful number, since it uses less digits than its factorization.

87605620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 87605620 is about 9359.7873907477. The cubic root of 87605620 is about 444.1305584185.

The spelling of 87605620 in words is "eighty-seven million, six hundred five thousand, six hundred twenty".