87544320 has 80 divisors (see below), whose sum is σ = 279892800. Its totient is φ = 23343104.

The previous prime is 87544319. The next prime is 87544321. The reversal of 87544320 is 2344578.

It is an interprime number because it is at equal distance from previous prime (87544319) and next prime (87544321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87544321) by changing a digit.

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, 1981 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2^87544320 is an apocalyptic number.

87544320 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 87544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

87544320 is an abundant number, since it is smaller than the sum of its proper divisors (192348480).

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

87544320 is a wasteful number, since it uses less digits than its factorization.

87544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 87544320 is about 9356.5121706756. The cubic root of 87544320 is about 444.0269442296.

Adding to 87544320 its reverse (2344578), we get a palindrome (89888898).

The spelling of 87544320 in words is "eighty-seven million, five hundred forty-four thousand, three hundred twenty".