10640682 has 48 divisors (see below), whose sum is σ = 25520040. Its totient is φ = 3182976.

The previous prime is 10640671. The next prime is 10640687. The reversal of 10640682 is 28604601.

10640682 is a `hidden beast` number, since 10 + 640 + 6 + 8 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10634121 + 6561 = 3261^2 + 81^2 .

It is a super-2 number, since 2×10640682² = 226448226850248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640687) 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 23 ways as a sum of consecutive naturals, for example, 8044 + ... + 9272.

Almost surely, 2^10640682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760020).

10640682 is an abundant number, since it is smaller than the sum of its proper divisors (14879358).

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

10640682 is a wasteful number, since it uses less digits than its factorization.

10640682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10640682 is about 3262.0058246423. The cubic root of 10640682 is about 219.9495890006.

The spelling of 10640682 in words is "ten million, six hundred forty thousand, six hundred eighty-two".