10396820 has 54 divisors (see below), whose sum is σ = 25646922. Its totient is φ = 3530016.

The previous prime is 10396817. The next prime is 10396847. The reversal of 10396820 is 2869301.

It can be written as a sum of positive squares in only one way, i.e., 8317456 + 2079364 = 2884^2 + 1442^2 .

It is a super-2 number, since 2×10396820² = 216187732224800, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 100889 + ... + 100991.

It is an arithmetic number, because the mean of its divisors is an integer number (474943).

Almost surely, 2^10396820 is an apocalyptic number.

10396820 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 10396820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823461).

10396820 is an abundant number, since it is smaller than the sum of its proper divisors (15250102).

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

10396820 is a wasteful number, since it uses less digits than its factorization.

10396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10396820 is about 3224.4100235547. The cubic root of 10396820 is about 218.2563267201.

The spelling of 10396820 in words is "ten million, three hundred ninety-six thousand, eight hundred twenty".