87584490 has 192 divisors, whose sum is σ = 285143040. Its totient is φ = 18895680.

The previous prime is 87584479. The next prime is 87584533. The reversal of 87584490 is 9448578.

87584490 is a `hidden beast` number, since 87 + 5 + 84 + 490 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323055 + ... + 323325.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^87584490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87584490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

87584490 is an abundant number, since it is smaller than the sum of its proper divisors (197558550).

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

87584490 is a wasteful number, since it uses less digits than its factorization.

87584490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

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

The square root of 87584490 is about 9358.6585577208. The cubic root of 87584490 is about 444.0948482540.

The spelling of 87584490 in words is "eighty-seven million, five hundred eighty-four thousand, four hundred ninety".