87819424 has 96 divisors (see below), whose sum is σ = 223171200. Its totient is φ = 33008640.

The previous prime is 87819421. The next prime is 87819437. The reversal of 87819424 is 42491878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87819421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70842 + ... + 72070.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^87819424 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 87819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

87819424 is an abundant number, since it is smaller than the sum of its proper divisors (135351776).

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

87819424 is a wasteful number, since it uses less digits than its factorization.

87819424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 87819424 is about 9371.2018439472. The cubic root of 87819424 is about 444.4915692994.

It can be divided in two parts, 878 and 19424, that added together give a palindrome (20302).

The spelling of 87819424 in words is "eighty-seven million, eight hundred nineteen thousand, four hundred twenty-four".