87984468 has 168 divisors, whose sum is σ = 272498016. Its totient is φ = 24494400.

The previous prime is 87984443. The next prime is 87984487. The reversal of 87984468 is 86448978.

It is a super-3 number, since 3×87984468³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 416883 + ... + 417093.

It is an arithmetic number, because the mean of its divisors is an integer number (1622012).

Almost surely, 2^87984468 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 87984468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136249008).

87984468 is an abundant number, since it is smaller than the sum of its proper divisors (184513548).

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

87984468 is a wasteful number, since it uses less digits than its factorization.

87984468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 87984468 is about 9380.0036247328. The cubic root of 87984468 is about 444.7698477417.

The spelling of 87984468 in words is "eighty-seven million, nine hundred eighty-four thousand, four hundred sixty-eight".