87385824 has 48 divisors (see below), whose sum is σ = 254877840. Its totient is φ = 29128320.

The previous prime is 87385813. The next prime is 87385829. The reversal of 87385824 is 42858378.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87385824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87385829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49707 + ... + 51434.

It is an arithmetic number, because the mean of its divisors is an integer number (5309955).

Almost surely, 2^87385824 is an apocalyptic number.

It is an amenable number.

87385824 is an abundant number, since it is smaller than the sum of its proper divisors (167492016).

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

87385824 is a wasteful number, since it uses less digits than its factorization.

87385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101160 (or 101146 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87385824 is about 9348.0385108321. The cubic root of 87385824 is about 443.7588171494.

It can be divided in two parts, 87385 and 824, that added together give a square (88209 = 297²).

The spelling of 87385824 in words is "eighty-seven million, three hundred eighty-five thousand, eight hundred twenty-four".