10087360 has 56 divisors (see below), whose sum is σ = 24871680. Its totient is φ = 3892224.

The previous prime is 10087351. The next prime is 10087379. The reversal of 10087360 is 6378001.

10087360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8737 + ... + 9823.

Almost surely, 2^10087360 is an apocalyptic number.

10087360 is a gapful number since it is divisible by the number (10) 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 10087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435840).

10087360 is an abundant number, since it is smaller than the sum of its proper divisors (14784320).

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

10087360 is a wasteful number, since it uses less digits than its factorization.

10087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10087360 is about 3176.0604528252. The cubic root of 10087360 is about 216.0690222947.

The spelling of 10087360 in words is "ten million, eighty-seven thousand, three hundred sixty".