87161312 has 96 divisors (see below), whose sum is σ = 212502528. Its totient is φ = 34338816.

The previous prime is 87161299. The next prime is 87161323. The reversal of 87161312 is 21316178.

It is a super-2 number, since 2×87161312² = 15194188619122688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178733 + ... + 179219.

It is an arithmetic number, because the mean of its divisors is an integer number (2213568).

Almost surely, 2^87161312 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 87161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

87161312 is an abundant number, since it is smaller than the sum of its proper divisors (125341216).

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

87161312 is a wasteful number, since it uses less digits than its factorization.

87161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 87161312 is about 9336.0222793222. The cubic root of 87161312 is about 443.3784555929.

The spelling of 87161312 in words is "eighty-seven million, one hundred sixty-one thousand, three hundred twelve".