10735820 has 12 divisors (see below), whose sum is σ = 22545264. Its totient is φ = 4294320.

The previous prime is 10735819. The next prime is 10735831. The reversal of 10735820 is 2853701.

It is a self number, because there is not a number n which added to its sum of digits gives 10735820.

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 3 ways as a sum of consecutive naturals, for example, 268376 + ... + 268415.

It is an arithmetic number, because the mean of its divisors is an integer number (1878772).

Almost surely, 2^10735820 is an apocalyptic number.

10735820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10735820 is an abundant number, since it is smaller than the sum of its proper divisors (11809444).

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

10735820 is a wasteful number, since it uses less digits than its factorization.

10735820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536800 (or 536798 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10735820 is about 3276.5561188541. The cubic root of 10735820 is about 220.6031657485.

The spelling of 10735820 in words is "ten million, seven hundred thirty-five thousand, eight hundred twenty".