10006980 has 24 divisors (see below), whose sum is σ = 28019712. Its totient is φ = 2668512.

The previous prime is 10006973. The next prime is 10006987. The reversal of 10006980 is 8960001.

It is an interprime number because it is at equal distance from previous prime (10006973) and next prime (10006987).

It is a self number, because there is not a number n which added to its sum of digits gives 10006980.

It is not an unprimeable number, because it can be changed into a prime (10006987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83332 + ... + 83451.

It is an arithmetic number, because the mean of its divisors is an integer number (1167488).

Almost surely, 2^10006980 is an apocalyptic number.

10006980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006980 is an abundant number, since it is smaller than the sum of its proper divisors (18012732).

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

10006980 is a wasteful number, since it uses less digits than its factorization.

10006980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166795 (or 166793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10006980 is about 3163.3811025547. The cubic root of 10006980 is about 215.4935838587.

Adding to 10006980 its reverse (8960001), we get a palindrome (18966981).

The spelling of 10006980 in words is "ten million, six thousand, nine hundred eighty".