87525248 has 128 divisors (see below), whose sum is σ = 203796000. Its totient is φ = 37158912.

The previous prime is 87525247. The next prime is 87525257. The reversal of 87525248 is 84252578.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (179200) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87525241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198940 + ... + 1199012.

Almost surely, 2^87525248 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 87525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101898000).

87525248 is an abundant number, since it is smaller than the sum of its proper divisors (116270752).

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

87525248 is a wasteful number, since it uses less digits than its factorization.

87525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 179200, while the sum is 41.

The square root of 87525248 is about 9355.4929319625. The cubic root of 87525248 is about 443.9946973368.

The spelling of 87525248 in words is "eighty-seven million, five hundred twenty-five thousand, two hundred forty-eight".