10006920 has 288 divisors, whose sum is σ = 42793920. Its totient is φ = 1969920.

The previous prime is 10006883. The next prime is 10006933. The reversal of 10006920 is 2960001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10006893 and 10006902.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526671 + ... + 526689.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 2^10006920 is an apocalyptic number.

10006920 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 10006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

10006920 is an abundant number, since it is smaller than the sum of its proper divisors (32787000).

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

10006920 is a wasteful number, since it uses less digits than its factorization.

10006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10006920 is about 3163.3716190166. The cubic root of 10006920 is about 215.4931531713.

Adding to 10006920 its reverse (2960001), we get a palindrome (12966921).

The spelling of 10006920 in words is "ten million, six thousand, nine hundred twenty".