87177216 has 96 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 24895488.

The previous prime is 87177203. The next prime is 87177221. The reversal of 87177216 is 61277178.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 41995 + ... + 44021.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^87177216 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 87177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

87177216 is an abundant number, since it is smaller than the sum of its proper divisors (178571904).

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

87177216 is a wasteful number, since it uses less digits than its factorization.

87177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2039 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 87177216 is about 9336.8739950799. The cubic root of 87177216 is about 443.4054211580.

It can be divided in two parts, 871 and 77216, that added together give a palindrome (78087).

The spelling of 87177216 in words is "eighty-seven million, one hundred seventy-seven thousand, two hundred sixteen".