87853824 has 108 divisors (see below), whose sum is σ = 268324056. Its totient is φ = 27549696.

The previous prime is 87853823. The next prime is 87853837. The reversal of 87853824 is 42835878.

It is a self number, because there is not a number n which added to its sum of digits gives 87853824.

It is not an unprimeable number, because it can be changed into a prime (87853823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38047 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (2484482).

Almost surely, 2^87853824 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 87853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134162028).

87853824 is an abundant number, since it is smaller than the sum of its proper divisors (180470232).

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

87853824 is a wasteful number, since it uses less digits than its factorization.

87853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2265 counting only the distinct ones).

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

The square root of 87853824 is about 9373.0370745026. The cubic root of 87853824 is about 444.5495994148.

The spelling of 87853824 in words is "eighty-seven million, eight hundred fifty-three thousand, eight hundred twenty-four".