87309600 has 144 divisors (see below), whose sum is σ = 324854208. Its totient is φ = 19952640.

The previous prime is 87309589. The next prime is 87309611. The reversal of 87309600 is 690378.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87309589) and next prime (87309611).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14202 + ... + 19398.

It is an arithmetic number, because the mean of its divisors is an integer number (2255932).

Almost surely, 2^87309600 is an apocalyptic number.

87309600 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 87309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162427104).

87309600 is an abundant number, since it is smaller than the sum of its proper divisors (237544608).

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

87309600 is a wasteful number, since it uses less digits than its factorization.

87309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 87309600 is about 9343.9606163554. The cubic root of 87309600 is about 443.6297538370.

Adding to 87309600 its reverse (690378), we get a palindrome (87999978).

The spelling of 87309600 in words is "eighty-seven million, three hundred nine thousand, six hundred".