87867360 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 19160064.

The previous prime is 87867359. The next prime is 87867371. The reversal of 87867360 is 6376878.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231651 + ... + 232029.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^87867360 is an apocalyptic number.

87867360 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 87867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

87867360 is an abundant number, since it is smaller than the sum of its proper divisors (270658080).

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

87867360 is a wasteful number, since it uses less digits than its factorization.

87867360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87867360 is about 9373.7591178779. The cubic root of 87867360 is about 444.5724294374.

The spelling of 87867360 in words is "eighty-seven million, eight hundred sixty-seven thousand, three hundred sixty".