87306984 has 96 divisors (see below), whose sum is σ = 248277120. Its totient is φ = 28740096.

The previous prime is 87306983. The next prime is 87307001. The reversal of 87306984 is 48960378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87306983) 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, 188337 + ... + 188799.

It is an arithmetic number, because the mean of its divisors is an integer number (2586220).

Almost surely, 2^87306984 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 87306984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124138560).

87306984 is an abundant number, since it is smaller than the sum of its proper divisors (160970136).

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

87306984 is a wasteful number, since it uses less digits than its factorization.

87306984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87306984 is about 9343.8206318401. The cubic root of 87306984 is about 443.6253230641.

The spelling of 87306984 in words is "eighty-seven million, three hundred six thousand, nine hundred eighty-four".