87235008 has 112 divisors (see below), whose sum is σ = 269589504. Its totient is φ = 24376320.

The previous prime is 87234991. The next prime is 87235079. The reversal of 87235008 is 80053278.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 87235008.

It is a congruent number.

It is an unprimeable number.

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, 62478 + ... + 63858.

Almost surely, 2^87235008 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 87235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134794752).

87235008 is an abundant number, since it is smaller than the sum of its proper divisors (182354496).

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

87235008 is a wasteful number, since it uses less digits than its factorization.

87235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87235008 is about 9339.9683082974. The cubic root of 87235008 is about 443.5033811022.

It can be divided in two parts, 8723 and 5008, that added together give a palindrome (13731).

The spelling of 87235008 in words is "eighty-seven million, two hundred thirty-five thousand, eight".