87834208 has 96 divisors (see below), whose sum is σ = 220872960. Its totient is φ = 33384960.

The previous prime is 87834199. The next prime is 87834221. The reversal of 87834208 is 80243878.

It is a congruent number.

It is an unprimeable number.

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, 105538 + ... + 106366.

It is an arithmetic number, because the mean of its divisors is an integer number (2300760).

Almost surely, 2^87834208 is an apocalyptic number.

87834208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110436480).

87834208 is an abundant number, since it is smaller than the sum of its proper divisors (133038752).

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

87834208 is a wasteful number, since it uses less digits than its factorization.

87834208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 87834208 is about 9371.9906103239. The cubic root of 87834208 is about 444.5165106102.

The spelling of 87834208 in words is "eighty-seven million, eight hundred thirty-four thousand, two hundred eight".