87500352 has 112 divisors (see below), whose sum is σ = 243905024. Its totient is φ = 27648000.

The previous prime is 87500351. The next prime is 87500381. The reversal of 87500352 is 25300578.

It is a happy number.

87500352 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (87500351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362952 + ... + 363192.

Almost surely, 2^87500352 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 87500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121952512).

87500352 is an abundant number, since it is smaller than the sum of its proper divisors (156404672).

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

87500352 is a wasteful number, since it uses less digits than its factorization.

87500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 87500352 is about 9354.1622821074. The cubic root of 87500352 is about 443.9525961890.

The spelling of 87500352 in words is "eighty-seven million, five hundred thousand, three hundred fifty-two".