10675680 has 96 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 2720256.

The previous prime is 10675669. The next prime is 10675681. The reversal of 10675680 is 8657601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10675680² = 227940286924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10675681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10557 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^10675680 is an apocalyptic number.

10675680 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 10675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

10675680 is an abundant number, since it is smaller than the sum of its proper divisors (24451104).

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

10675680 is a wasteful number, since it uses less digits than its factorization.

10675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 10675680 is about 3267.3659115563. The cubic root of 10675680 is about 220.1904686598.

The spelling of 10675680 in words is "ten million, six hundred seventy-five thousand, six hundred eighty".