87674208 has 96 divisors (see below), whose sum is σ = 246032640. Its totient is φ = 27256320.

The previous prime is 87674179. The next prime is 87674261. The reversal of 87674208 is 80247678.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 87674208.

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, 129166 + ... + 129842.

It is an arithmetic number, because the mean of its divisors is an integer number (2562840).

Almost surely, 2^87674208 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 87674208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123016320).

87674208 is an abundant number, since it is smaller than the sum of its proper divisors (158358432).

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

87674208 is a wasteful number, since it uses less digits than its factorization.

87674208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 87674208 is about 9363.4506459958. The cubic root of 87674208 is about 444.2464340912.

The spelling of 87674208 in words is "eighty-seven million, six hundred seventy-four thousand, two hundred eight".