87824736 has 120 divisors (see below), whose sum is σ = 266865984. Its totient is φ = 28304640.

The previous prime is 87824719. The next prime is 87824749. The reversal of 87824736 is 63742878.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87824691 and 87824700.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 79806 + ... + 80898.

Almost surely, 2^87824736 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 87824736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432992).

87824736 is an abundant number, since it is smaller than the sum of its proper divisors (179041248).

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

87824736 is a wasteful number, since it uses less digits than its factorization.

87824736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87824736 is about 9371.4852611526. The cubic root of 87824736 is about 444.5005312181.

The spelling of 87824736 in words is "eighty-seven million, eight hundred twenty-four thousand, seven hundred thirty-six".