87524352 has 66 divisors (see below), whose sum is σ = 252751278. Its totient is φ = 29171712.

The previous prime is 87524341. The next prime is 87524357. The reversal of 87524352 is 25342578.

87524352 is a `hidden beast` number, since 87 + 524 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 34292736 = 7296^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87524357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4468 + ... + 13964.

Almost surely, 2^87524352 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 87524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126375639).

87524352 is an abundant number, since it is smaller than the sum of its proper divisors (165226926).

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

87524352 is a wasteful number, since it uses less digits than its factorization.

87524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9502 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 87524352 is about 9355.4450455336. The cubic root of 87524352 is about 443.9931822669.

The spelling of 87524352 in words is "eighty-seven million, five hundred twenty-four thousand, three hundred fifty-two".