87046864 has 30 divisors (see below), whose sum is σ = 174696470. Its totient is φ = 42016128.

The previous prime is 87046849. The next prime is 87046871. The reversal of 87046864 is 46864078.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 85377600 = 1292^2 + 9240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87046864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10222 + ... + 16690.

Almost surely, 2^87046864 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 87046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87348235).

87046864 is an abundant number, since it is smaller than the sum of its proper divisors (87649606).

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

87046864 is a wasteful number, since it uses less digits than its factorization.

87046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 87046864 is about 9329.8908889654. The cubic root of 87046864 is about 443.1843098096.

The spelling of 87046864 in words is "eighty-seven million, forty-six thousand, eight hundred sixty-four".