87525856 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 35988480.

The previous prime is 87525853. The next prime is 87525859. The reversal of 87525856 is 65852578.

It is an interprime number because it is at equal distance from previous prime (87525853) and next prime (87525859).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87525853) by changing a digit.

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, 153540 + ... + 154108.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^87525856 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 87525856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

87525856 is an abundant number, since it is smaller than the sum of its proper divisors (119315744).

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

87525856 is a wasteful number, since it uses less digits than its factorization.

87525856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The square root of 87525856 is about 9355.5254261853. The cubic root of 87525856 is about 443.9957254140.

The spelling of 87525856 in words is "eighty-seven million, five hundred twenty-five thousand, eight hundred fifty-six".