10365680 has 40 divisors (see below), whose sum is σ = 25956672. Its totient is φ = 3826944.

The previous prime is 10365679. The next prime is 10365701. The reversal of 10365680 is 8656301.

10365680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 3944 + ... + 6023.

Almost surely, 2^10365680 is an apocalyptic number.

10365680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10365680 is an abundant number, since it is smaller than the sum of its proper divisors (15590992).

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

10365680 is a wasteful number, since it uses less digits than its factorization.

10365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10365680 is about 3219.5776120479. The cubic root of 10365680 is about 218.0382055756.

The spelling of 10365680 in words is "ten million, three hundred sixty-five thousand, six hundred eighty".