87717600 has 288 divisors, whose sum is σ = 329978880. Its totient is φ = 22464000.

The previous prime is 87717593. The next prime is 87717611. The reversal of 87717600 is 671778.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669535 + ... + 669665.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^87717600 is an apocalyptic number.

87717600 is a gapful number since it is divisible by the number (80) 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 87717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

87717600 is an abundant number, since it is smaller than the sum of its proper divisors (242261280).

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

87717600 is a wasteful number, since it uses less digits than its factorization.

87717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 87717600 is about 9365.7674538716. The cubic root of 87717600 is about 444.3197112933.

The spelling of 87717600 in words is "eighty-seven million, seven hundred seventeen thousand, six hundred".