10681680 has 40 divisors (see below), whose sum is σ = 33113952. Its totient is φ = 2848384.

The previous prime is 10681679. The next prime is 10681687. The reversal of 10681680 is 8618601.

10681680 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 (40).

It is a super-2 number, since 2×10681680² = 228196575244800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22014 + ... + 22493.

Almost surely, 2^10681680 is an apocalyptic number.

10681680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681680 is an abundant number, since it is smaller than the sum of its proper divisors (22432272).

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

10681680 is a wasteful number, since it uses less digits than its factorization.

10681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44523 (or 44517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10681680 is about 3268.2839533921. The cubic root of 10681680 is about 220.2317117901.

The spelling of 10681680 in words is "ten million, six hundred eighty-one thousand, six hundred eighty".