10087000 has 128 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 3120000.

The previous prime is 10086961. The next prime is 10087003. The reversal of 10087000 is 78001.

10087000 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 not an unprimeable number, because it can be changed into a prime (10087003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76935 + ... + 77065.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^10087000 is an apocalyptic number.

10087000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10087000 is the 1834-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

10087000 is an abundant number, since it is smaller than the sum of its proper divisors (19565480).

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

10087000 is a wasteful number, since it uses less digits than its factorization.

10087000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10087000 is about 3176.0037783353. The cubic root of 10087000 is about 216.0664518907.

It can be divided in two parts, 1008 and 7000, that added together give a palindrome (8008).

The spelling of 10087000 in words is "ten million, eighty-seven thousand".