87360480 has 288 divisors, whose sum is σ = 327075840. Its totient is φ = 21150720.

The previous prime is 87360457. The next prime is 87360503. The reversal of 87360480 is 8406378.

It is an interprime number because it is at equal distance from previous prime (87360457) and next prime (87360503).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 848109 + ... + 848211.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^87360480 is an apocalyptic number.

87360480 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 87360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

87360480 is an abundant number, since it is smaller than the sum of its proper divisors (239715360).

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

87360480 is a wasteful number, since it uses less digits than its factorization.

87360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87360480 is about 9346.6828340326. The cubic root of 87360480 is about 443.7159127423.

The spelling of 87360480 in words is "eighty-seven million, three hundred sixty thousand, four hundred eighty".