87984414 has 64 divisors (see below), whose sum is σ = 225216000. Its totient is φ = 24940224.

The previous prime is 87984397. The next prime is 87984419. The reversal of 87984414 is 41448978.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 87984414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87984419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50937 + ... + 52635.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2^87984414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87984414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112608000).

87984414 is an abundant number, since it is smaller than the sum of its proper divisors (137231586).

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

87984414 is a wasteful number, since it uses less digits than its factorization.

87984414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 87984414 is about 9380.0007462686. Note that the first 3 decimals coincide. The cubic root of 87984414 is about 444.7697567500.

The spelling of 87984414 in words is "eighty-seven million, nine hundred eighty-four thousand, four hundred fourteen".