87305940 has 72 divisors (see below), whose sum is σ = 272006280. Its totient is φ = 22650624.

The previous prime is 87305923. The next prime is 87305963. The reversal of 87305940 is 4950378.

It can be written as a sum of positive squares in 4 ways, for example, as 19342404 + 67963536 = 4398^2 + 8244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 87305895 and 87305904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106 + ... + 13214.

It is an arithmetic number, because the mean of its divisors is an integer number (3777865).

Almost surely, 2^87305940 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 87305940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136003140).

87305940 is an abundant number, since it is smaller than the sum of its proper divisors (184700340).

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

87305940 is a wasteful number, since it uses less digits than its factorization.

87305940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87305940 is about 9343.7647658746. The cubic root of 87305940 is about 443.6235547952.

The spelling of 87305940 in words is "eighty-seven million, three hundred five thousand, nine hundred forty".