10368680 has 64 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 3366144.

The previous prime is 10368667. The next prime is 10368697. The reversal of 10368680 is 8686301.

10368680 = 11² + 12² + ... + 314².

10368680 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 15 ways as a sum of consecutive naturals, for example, 4346 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^10368680 is an apocalyptic number.

10368680 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 10368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

10368680 is an abundant number, since it is smaller than the sum of its proper divisors (17711320).

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

10368680 is a wasteful number, since it uses less digits than its factorization.

10368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10368680 is about 3220.0434779673. The cubic root of 10368680 is about 218.0592381730.

The spelling of 10368680 in words is "ten million, three hundred sixty-eight thousand, six hundred eighty".