87895416 has 96 divisors (see below), whose sum is σ = 263969280. Its totient is φ = 24292800.

The previous prime is 87895393. The next prime is 87895417. The reversal of 87895416 is 61459878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87895417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35251 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (2749680).

Almost surely, 2^87895416 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 87895416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131984640).

87895416 is an abundant number, since it is smaller than the sum of its proper divisors (176073864).

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

87895416 is a wasteful number, since it uses less digits than its factorization.

87895416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2454 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 87895416 is about 9375.2555165179. The cubic root of 87895416 is about 444.6197416467.

The spelling of 87895416 in words is "eighty-seven million, eight hundred ninety-five thousand, four hundred sixteen".