87808 has 36 divisors (see below), whose sum is σ = 204400. Its totient is φ = 37632.

The previous prime is 87803. The next prime is 87811. The reversal of 87808 is 80878.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number *n* which added to its sum of digits gives 87808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12541 + ... + 12547.

2^{87808} 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 87808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102200).

87808 is an abundant number, since it is smaller than the sum of its proper divisors (116592).

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

87808 is an frugal number, since it uses more digits than its factorization.

87808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 87808 is about 296.3241468392. The cubic root of 87808 is about 44.4472294551.

The spelling of 87808 in words is "eighty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 10976 12544 21952 43904 87808

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