87117800 has 96 divisors (see below), whose sum is σ = 252573120. Its totient is φ = 27148800.

The previous prime is 87117799. The next prime is 87117829. The reversal of 87117800 is 871178.

It is a super-2 number, since 2×87117800² = 15179022153680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12572 + ... + 18228.

It is an arithmetic number, because the mean of its divisors is an integer number (2630970).

Almost surely, 2^87117800 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 87117800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126286560).

87117800 is an abundant number, since it is smaller than the sum of its proper divisors (165455320).

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

87117800 is a wasteful number, since it uses less digits than its factorization.

87117800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 87117800 is about 9333.6916597882. The cubic root of 87117800 is about 443.3046633177.

Adding to 87117800 its reverse (871178), we get a palindrome (87988978).

Multiplying 87117800 by its reverse (871178), we get a square (75895110768400 = 8711780²).

87117800 divided by its reverse (871178) gives a square (100 = 10²).

The spelling of 87117800 in words is "eighty-seven million, one hundred seventeen thousand, eight hundred".