87345216 has 280 divisors, whose sum is σ = 309798720. Its totient is φ = 23804928.

The previous prime is 87345199. The next prime is 87345217. The reversal of 87345216 is 61254378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87345217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052311 + ... + 1052393.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^87345216 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 87345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

87345216 is an abundant number, since it is smaller than the sum of its proper divisors (222453504).

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

87345216 is a wasteful number, since it uses less digits than its factorization.

87345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87345216 is about 9345.8662519854. The cubic root of 87345216 is about 443.6900685841.

The spelling of 87345216 in words is "eighty-seven million, three hundred forty-five thousand, two hundred sixteen".