10867680 has 72 divisors (see below), whose sum is σ = 37090872. Its totient is φ = 2897664.

The previous prime is 10867679. The next prime is 10867733. The reversal of 10867680 is 8676801.

10867680 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (515151).

Almost surely, 2^10867680 is an apocalyptic number.

10867680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10867680 is an abundant number, since it is smaller than the sum of its proper divisors (26223192).

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

10867680 is a wasteful number, since it uses less digits than its factorization.

10867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 10867680 is about 3296.6164472077. The cubic root of 10867680 is about 221.5026607035.

The spelling of 10867680 in words is "ten million, eight hundred sixty-seven thousand, six hundred eighty".