87836580 has 72 divisors (see below), whose sum is σ = 286940472. Its totient is φ = 21620736.

The previous prime is 87836537. The next prime is 87836657. The reversal of 87836580 is 8563878.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 87160896 = 822^2 + 9336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16429 + ... + 21108.

Almost surely, 2^87836580 is an apocalyptic number.

It is an amenable number.

87836580 is an abundant number, since it is smaller than the sum of its proper divisors (199103892).

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

87836580 is a wasteful number, since it uses less digits than its factorization.

87836580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37565 (or 37560 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87836580 is about 9372.1171567581. The cubic root of 87836580 is about 444.5205120264.

The spelling of 87836580 in words is "eighty-seven million, eight hundred thirty-six thousand, five hundred eighty".