87863424 has 192 divisors, whose sum is σ = 269149440. Its totient is φ = 25344000.

The previous prime is 87863411. The next prime is 87863437. The reversal of 87863424 is 42436878.

It is an interprime number because it is at equal distance from previous prime (87863411) and next prime (87863437).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440354 + ... + 1440414.

It is an arithmetic number, because the mean of its divisors is an integer number (1401820).

Almost surely, 2^87863424 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 87863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

87863424 is an abundant number, since it is smaller than the sum of its proper divisors (181286016).

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

87863424 is a wasteful number, since it uses less digits than its factorization.

87863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 87863424 is about 9373.5491677379. The cubic root of 87863424 is about 444.5657911620.

The spelling of 87863424 in words is "eighty-seven million, eight hundred sixty-three thousand, four hundred twenty-four".