10641680 has 80 divisors (see below), whose sum is σ = 29236224. Its totient is φ = 3525120.

The previous prime is 10641667. The next prime is 10641689. The reversal of 10641680 is 8614601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10641680² = 226490706444800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10641689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17054 + ... + 17666.

Almost surely, 2^10641680 is an apocalyptic number.

10641680 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 10641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618112).

10641680 is an abundant number, since it is smaller than the sum of its proper divisors (18594544).

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

10641680 is a wasteful number, since it uses less digits than its factorization.

10641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10641680 is about 3262.1587944182. The cubic root of 10641680 is about 219.9564652149.

It can be divided in two parts, 1064 and 1680, that added together give a cube (2744 = 14³).

The spelling of 10641680 in words is "ten million, six hundred forty-one thousand, six hundred eighty".