10690820 has 36 divisors (see below), whose sum is σ = 26118540. Its totient is φ = 3665088.

The previous prime is 10690819. The next prime is 10690847. The reversal of 10690820 is 2809601.

It can be written as a sum of positive squares in 2 ways, for example, as 3161284 + 7529536 = 1778^2 + 2744^2 .

It is a super-2 number, since 2×10690820² = 228587264544800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10690820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4475 + ... + 6434.

It is an arithmetic number, because the mean of its divisors is an integer number (725515).

Almost surely, 2^10690820 is an apocalyptic number.

10690820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10690820 is an abundant number, since it is smaller than the sum of its proper divisors (15427720).

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

10690820 is a wasteful number, since it uses less digits than its factorization.

10690820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10690820 is about 3269.6819417185. The cubic root of 10690820 is about 220.2945091524.

The spelling of 10690820 in words is "ten million, six hundred ninety thousand, eight hundred twenty".