10835808 has 48 divisors (see below), whose sum is σ = 29148336. Its totient is φ = 3522560.

The previous prime is 10835791. The next prime is 10835809. The reversal of 10835808 is 80853801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10835809) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2560 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (607257).

Almost surely, 2^10835808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574168).

10835808 is an abundant number, since it is smaller than the sum of its proper divisors (18312528).

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

10835808 is a wasteful number, since it uses less digits than its factorization.

10835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10835808 is about 3291.7788504090. The cubic root of 10835808 is about 221.2859126485.

It can be divided in two parts, 1083 and 5808, that multiplied together give a square (6290064 = 2508²).

The spelling of 10835808 in words is "ten million, eight hundred thirty-five thousand, eight hundred eight".