10087560 has 96 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 2305152.

The previous prime is 10087559. The next prime is 10087573. The reversal of 10087560 is 6578001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519 + ... + 4521.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 2^10087560 is an apocalyptic number.

10087560 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 10087560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

10087560 is an abundant number, since it is smaller than the sum of its proper divisors (27389880).

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

10087560 is a wasteful number, since it uses less digits than its factorization.

10087560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10087560 is about 3176.0919382159. The cubic root of 10087560 is about 216.0704502706.

The spelling of 10087560 in words is "ten million, eighty-seven thousand, five hundred sixty".