10487180 has 48 divisors (see below), whose sum is σ = 24391584. Its totient is φ = 3755520.

The previous prime is 10487167. The next prime is 10487189. The reversal of 10487180 is 8178401.

It is not an unprimeable number, because it can be changed into a prime (10487189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15734 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (508158).

Almost surely, 2^10487180 is an apocalyptic number.

10487180 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 10487180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195792).

10487180 is an abundant number, since it is smaller than the sum of its proper divisors (13904404).

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

10487180 is a wasteful number, since it uses less digits than its factorization.

10487180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 10487180 is about 3238.3915760760. The cubic root of 10487180 is about 218.8868009608.

It can be divided in two parts, 1048 and 7180, that added together give a palindrome (8228).

The spelling of 10487180 in words is "ten million, four hundred eighty-seven thousand, one hundred eighty".