87681360 has 160 divisors (see below), whose sum is σ = 296231040. Its totient is φ = 21325824.

The previous prime is 87681337. The next prime is 87681383. The reversal of 87681360 is 6318678.

It is an interprime number because it is at equal distance from previous prime (87681337) and next prime (87681383).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489751 + ... + 489929.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 2^87681360 is an apocalyptic number.

87681360 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 87681360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

87681360 is an abundant number, since it is smaller than the sum of its proper divisors (208549680).

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

87681360 is a wasteful number, since it uses less digits than its factorization.

87681360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87681360 is about 9363.8325486950. The cubic root of 87681360 is about 444.2585135240.

The spelling of 87681360 in words is "eighty-seven million, six hundred eighty-one thousand, three hundred sixty".