10340820 has 144 divisors (see below), whose sum is σ = 37215360. Its totient is φ = 2274048.

The previous prime is 10340819. The next prime is 10340831. The reversal of 10340820 is 2804301.

It is a happy number.

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 = 10340793 and 10340802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36399 + ... + 36681.

It is an arithmetic number, because the mean of its divisors is an integer number (258440).

Almost surely, 2^10340820 is an apocalyptic number.

10340820 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 10340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607680).

10340820 is an abundant number, since it is smaller than the sum of its proper divisors (26874540).

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

10340820 is a wasteful number, since it uses less digits than its factorization.

10340820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10340820 is about 3215.7145395697. The cubic root of 10340820 is about 217.8637591060.

The spelling of 10340820 in words is "ten million, three hundred forty thousand, eight hundred twenty".