87081120 has 288 divisors, whose sum is σ = 348147072. Its totient is φ = 19408896.

The previous prime is 87081119. The next prime is 87081121. The reversal of 87081120 is 2118078.

It is an interprime number because it is at equal distance from previous prime (87081119) and next prime (87081121).

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

It is not an unprimeable number, because it can be changed into a prime (87081121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534159 + ... + 534321.

It is an arithmetic number, because the mean of its divisors is an integer number (1208844).

Almost surely, 2^87081120 is an apocalyptic number.

87081120 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 87081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536).

87081120 is an abundant number, since it is smaller than the sum of its proper divisors (261065952).

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

87081120 is a wasteful number, since it uses less digits than its factorization.

87081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87081120 is about 9331.7265283548. The cubic root of 87081120 is about 443.2424383852.

Adding to 87081120 its reverse (2118078), we get a palindrome (89199198).

The spelling of 87081120 in words is "eighty-seven million, eighty-one thousand, one hundred twenty".