87324832 has 48 divisors (see below), whose sum is σ = 198555840. Its totient is φ = 37029888.

The previous prime is 87324821. The next prime is 87324871. The reversal of 87324832 is 23842378.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87324791 and 87324800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19719 + ... + 23737.

It is an arithmetic number, because the mean of its divisors is an integer number (4136580).

Almost surely, 2^87324832 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 87324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99277920).

87324832 is an abundant number, since it is smaller than the sum of its proper divisors (111231008).

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

87324832 is a wasteful number, since it uses less digits than its factorization.

87324832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4125 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 87324832 is about 9344.7756527377. The cubic root of 87324832 is about 443.6555508303.

It can be divided in two parts, 873 and 24832, that multiplied together give a square (21678336 = 4656²).

The spelling of 87324832 in words is "eighty-seven million, three hundred twenty-four thousand, eight hundred thirty-two".