87511578 has 64 divisors (see below), whose sum is σ = 219276288. Its totient is φ = 22619520.

The previous prime is 87511561. The next prime is 87511609.

87511578 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 141526 + ... + 142142.

It is an arithmetic number, because the mean of its divisors is an integer number (3426192).

Almost surely, 2^87511578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87511578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109638144).

87511578 is an abundant number, since it is smaller than the sum of its proper divisors (131764710).

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

87511578 is a wasteful number, since it uses less digits than its factorization.

87511578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947.

The product of its digits is 78400, while the sum is 42.

The square root of 87511578 is about 9354.7623165958. The cubic root of 87511578 is about 443.9715812506.

The spelling of 87511578 in words is "eighty-seven million, five hundred eleven thousand, five hundred seventy-eight".