87065160 has 384 divisors, whose sum is σ = 351630720. Its totient is φ = 17031168.

The previous prime is 87065159. The next prime is 87065171. The reversal of 87065160 is 6156078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299447 + ... + 1299513.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^87065160 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 87065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

87065160 is an abundant number, since it is smaller than the sum of its proper divisors (264565560).

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

87065160 is a wasteful number, since it uses less digits than its factorization.

87065160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 87065160 is about 9330.8713419487. The cubic root of 87065160 is about 443.2153579589.

The spelling of 87065160 in words is "eighty-seven million, sixty-five thousand, one hundred sixty".