87404416 has 64 divisors (see below), whose sum is σ = 198288000. Its totient is φ = 37987840.

The previous prime is 87404377. The next prime is 87404417. The reversal of 87404416 is 61440478.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87404417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31035 + ... + 33733.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^87404416 is an apocalyptic number.

87404416 is the 5398-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

87404416 is an abundant number, since it is smaller than the sum of its proper divisors (110883584).

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

87404416 is a wasteful number, since it uses less digits than its factorization.

87404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 87404416 is about 9349.0328911605. The cubic root of 87404416 is about 443.7902859411.

The spelling of 87404416 in words is "eighty-seven million, four hundred four thousand, four hundred sixteen".