87245180 has 48 divisors (see below), whose sum is σ = 200866176. Its totient is φ = 31567680.

The previous prime is 87245167. The next prime is 87245183. The reversal of 87245180 is 8154278.

It is a super-4 number, since 4×87245180⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 87245180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87245183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49067 + ... + 50813.

It is an arithmetic number, because the mean of its divisors is an integer number (4184712).

Almost surely, 2^87245180 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 87245180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100433088).

87245180 is an abundant number, since it is smaller than the sum of its proper divisors (113620996).

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

87245180 is a wasteful number, since it uses less digits than its factorization.

87245180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 87245180 is about 9340.5128338866. The cubic root of 87245180 is about 443.5206186049.

The spelling of 87245180 in words is "eighty-seven million, two hundred forty-five thousand, one hundred eighty".