87182016 has 56 divisors (see below), whose sum is σ = 232135680. Its totient is φ = 28876032.

The previous prime is 87182009. The next prime is 87182021. The reversal of 87182016 is 61028178.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30705 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (4145280).

Almost surely, 2^87182016 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 87182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116067840).

87182016 is an abundant number, since it is smaller than the sum of its proper divisors (144953664).

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

87182016 is a wasteful number, since it uses less digits than its factorization.

87182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 87182016 is about 9337.1310368871. The cubic root of 87182016 is about 443.4135590143.

The spelling of 87182016 in words is "eighty-seven million, one hundred eighty-two thousand, sixteen".