87584820 has 48 divisors (see below), whose sum is σ = 246734208. Its totient is φ = 23213440.

The previous prime is 87584807. The next prime is 87584863. The reversal of 87584820 is 2848578.

It is a super-2 number, since 2×87584820² = 15342201388864800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5650 + ... + 14390.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 2^87584820 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 87584820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367104).

87584820 is an abundant number, since it is smaller than the sum of its proper divisors (159149388).

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

87584820 is a wasteful number, since it uses less digits than its factorization.

87584820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 87584820 is about 9358.6761884361. The cubic root of 87584820 is about 444.0954060054.

The spelling of 87584820 in words is "eighty-seven million, five hundred eighty-four thousand, eight hundred twenty".