87305960 has 32 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 29933376.

The previous prime is 87305923. The next prime is 87305963. The reversal of 87305960 is 6950378.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87305963) 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, 155624 + ... + 156183.

It is an arithmetic number, because the mean of its divisors is an integer number (7015680).

Almost surely, 2^87305960 is an apocalyptic number.

It is an amenable number.

87305960 is an abundant number, since it is smaller than the sum of its proper divisors (137195800).

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

87305960 is a wasteful number, since it uses less digits than its factorization.

87305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311825 (or 311821 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 87305960 is about 9343.7658361070. The cubic root of 87305960 is about 443.6235886702.

The spelling of 87305960 in words is "eighty-seven million, three hundred five thousand, nine hundred sixty".