87240320 has 64 divisors (see below), whose sum is σ = 209744640. Its totient is φ = 34698240.

The previous prime is 87240289. The next prime is 87240331. The reversal of 87240320 is 2304278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×87240320² = 15221746867404800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87240320.

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 7 ways as a sum of consecutive naturals, for example, 173189 + ... + 173691.

It is an arithmetic number, because the mean of its divisors is an integer number (3277260).

Almost surely, 2^87240320 is an apocalyptic number.

87240320 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 87240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

87240320 is an abundant number, since it is smaller than the sum of its proper divisors (122504320).

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

87240320 is a wasteful number, since it uses less digits than its factorization.

87240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 87240320 is about 9340.2526732418. The cubic root of 87240320 is about 443.5123830010.

Adding to 87240320 its reverse (2304278), we get a palindrome (89544598).

The spelling of 87240320 in words is "eighty-seven million, two hundred forty thousand, three hundred twenty".