87349824 has 84 divisors (see below), whose sum is σ = 252404880. Its totient is φ = 28880640.

The previous prime is 87349817. The next prime is 87349831. The reversal of 87349824 is 42894378.

It is an interprime number because it is at equal distance from previous prime (87349817) and next prime (87349831).

It is a self number, because there is not a number n which added to its sum of digits gives 87349824.

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 11 ways as a sum of consecutive naturals, for example, 79519 + ... + 80609.

It is an arithmetic number, because the mean of its divisors is an integer number (3004820).

Almost surely, 2^87349824 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 87349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126202440).

87349824 is an abundant number, since it is smaller than the sum of its proper divisors (165055056).

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

87349824 is a wasteful number, since it uses less digits than its factorization.

87349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1235 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87349824 is about 9346.1127748385. The cubic root of 87349824 is about 443.6978709114.

The spelling of 87349824 in words is "eighty-seven million, three hundred forty-nine thousand, eight hundred twenty-four".