87081360 has 80 divisors (see below), whose sum is σ = 272173056. Its totient is φ = 23030784.

The previous prime is 87081349. The next prime is 87081367. The reversal of 87081360 is 6318078.

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

It is not an unprimeable number, because it can be changed into a prime (87081367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29052 + ... + 31908.

Almost surely, 2^87081360 is an apocalyptic number.

87081360 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 87081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136086528).

87081360 is an abundant number, since it is smaller than the sum of its proper divisors (185091696).

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

87081360 is a wasteful number, since it uses less digits than its factorization.

87081360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 87081360 is about 9331.7393877026. The cubic root of 87081360 is about 443.2428455844.

The spelling of 87081360 in words is "eighty-seven million, eighty-one thousand, three hundred sixty".