10187680 has 48 divisors (see below), whose sum is σ = 24671304. Its totient is φ = 3973120.

The previous prime is 10187677. The next prime is 10187693. The reversal of 10187680 is 8678101.

10187680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 6990736 = 1788^2 + 2644^2 .

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, 5784 + ... + 7336.

Almost surely, 2^10187680 is an apocalyptic number.

10187680 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 10187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335652).

10187680 is an abundant number, since it is smaller than the sum of its proper divisors (14483624).

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

10187680 is a wasteful number, since it uses less digits than its factorization.

10187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 10187680 is about 3191.8145309526. The cubic root of 10187680 is about 216.7829382505.

The spelling of 10187680 in words is "ten million, one hundred eighty-seven thousand, six hundred eighty".