87816300 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 18585600.

The previous prime is 87816293. The next prime is 87816307. The reversal of 87816300 is 361878.

It is an interprime number because it is at equal distance from previous prime (87816293) and next prime (87816307).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (87816307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986656 + ... + 986744.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^87816300 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 87816300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

87816300 is an abundant number, since it is smaller than the sum of its proper divisors (227163540).

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

87816300 is a wasteful number, since it uses less digits than its factorization.

87816300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 87816300 is about 9371.0351616030. The cubic root of 87816300 is about 444.4862986047.

The spelling of 87816300 in words is "eighty-seven million, eight hundred sixteen thousand, three hundred".