87528476 has 48 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 36427584.

The previous prime is 87528451. The next prime is 87528487. The reversal of 87528476 is 67482578.

It is a super-2 number, since 2×87528476² = 15322468221765152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 87528476.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 298586 + ... + 298878.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^87528476 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 87528476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

87528476 is an abundant number, since it is smaller than the sum of its proper divisors (92653540).

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

87528476 is a wasteful number, since it uses less digits than its factorization.

87528476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 87528476 is about 9355.6654493414. The cubic root of 87528476 is about 444.0001555609. Note that the first 3 decimals are identical.

The spelling of 87528476 in words is "eighty-seven million, five hundred twenty-eight thousand, four hundred seventy-six".