10808736 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3280896.

The previous prime is 10808729. The next prime is 10808737. The reversal of 10808736 is 63780801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10808697 and 10808706.

It is not an unprimeable number, because it can be changed into a prime (10808737) 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 15 ways as a sum of consecutive naturals, for example, 60295 + ... + 60473.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^10808736 is an apocalyptic number.

10808736 is a gapful number since it is divisible by the number (16) 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 10808736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

10808736 is an abundant number, since it is smaller than the sum of its proper divisors (20217504).

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

10808736 is a wasteful number, since it uses less digits than its factorization.

10808736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10808736 is about 3287.6642164309. The cubic root of 10808736 is about 221.1014732988.

The spelling of 10808736 in words is "ten million, eight hundred eight thousand, seven hundred thirty-six".