10006940 has 24 divisors (see below), whose sum is σ = 21077280. Its totient is φ = 3990848.

The previous prime is 10006937. The next prime is 10006957. The reversal of 10006940 is 4960001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9689 + ... + 10671.

It is an arithmetic number, because the mean of its divisors is an integer number (878220).

Almost surely, 2^10006940 is an apocalyptic number.

10006940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006940 is an abundant number, since it is smaller than the sum of its proper divisors (11070340).

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

10006940 is a wasteful number, since it uses less digits than its factorization.

10006940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10006940 is about 3163.3747801991. The cubic root of 10006940 is about 215.4932967340.

Adding to 10006940 its reverse (4960001), we get a palindrome (14966941).

The spelling of 10006940 in words is "ten million, six thousand, nine hundred forty".