10882640 has 20 divisors (see below), whose sum is σ = 25302324. Its totient is φ = 4353024.

The previous prime is 10882633. The next prime is 10882661. The reversal of 10882640 is 4628801.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 9461776 = 1192^2 + 3076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67937 + ... + 68096.

Almost surely, 2^10882640 is an apocalyptic number.

10882640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10882640 is an abundant number, since it is smaller than the sum of its proper divisors (14419684).

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

10882640 is a wasteful number, since it uses less digits than its factorization.

10882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136046 (or 136040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10882640 is about 3298.8846600025. The cubic root of 10882640 is about 221.6042512445.

The spelling of 10882640 in words is "ten million, eight hundred eighty-two thousand, six hundred forty".