87365824 has 84 divisors (see below), whose sum is σ = 217285824. Its totient is φ = 34546176.

The previous prime is 87365807. The next prime is 87365849. The reversal of 87365824 is 42856378.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39697 + ... + 41839.

It is an arithmetic number, because the mean of its divisors is an integer number (2586736).

Almost surely, 2^87365824 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 87365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108642912).

87365824 is an abundant number, since it is smaller than the sum of its proper divisors (129920000).

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

87365824 is a wasteful number, since it uses less digits than its factorization.

87365824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2165 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 87365824 is about 9346.9687064845. The cubic root of 87365824 is about 443.7249601952.

The spelling of 87365824 in words is "eighty-seven million, three hundred sixty-five thousand, eight hundred twenty-four".