87085152 has 432 divisors, whose sum is σ = 343874160. Its totient is φ = 21288960.

The previous prime is 87085139. The next prime is 87085183. The reversal of 87085152 is 25158078.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5122648 + ... + 5122664.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 2^87085152 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 87085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937080).

87085152 is an abundant number, since it is smaller than the sum of its proper divisors (256789008).

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

87085152 is a wasteful number, since it uses less digits than its factorization.

87085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 87085152 is about 9331.9425630466. The cubic root of 87085152 is about 443.2492792325.

The spelling of 87085152 in words is "eighty-seven million, eighty-five thousand, one hundred fifty-two".