87316320 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 18413568.

The previous prime is 87316309. The next prime is 87316357. The reversal of 87316320 is 2361378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42681 + ... + 44679.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^87316320 is an apocalyptic number.

87316320 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 87316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

87316320 is an abundant number, since it is smaller than the sum of its proper divisors (251371680).

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

87316320 is a wasteful number, since it uses less digits than its factorization.

87316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 87316320 is about 9344.3201999931. The cubic root of 87316320 is about 443.6411352333.

Adding to 87316320 its reverse (2361378), we get a palindrome (89677698).

It can be divided in two parts, 8731 and 6320, that added together give a palindrome (15051).

The spelling of 87316320 in words is "eighty-seven million, three hundred sixteen thousand, three hundred twenty".