10727808 has 128 divisors (see below), whose sum is σ = 35185920. Its totient is φ = 2820096.

The previous prime is 10727807. The next prime is 10727809. The reversal of 10727808 is 80872701.

It is an interprime number because it is at equal distance from previous prime (10727807) and next prime (10727809).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10727807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34791 + ... + 35097.

It is an arithmetic number, because the mean of its divisors is an integer number (274890).

Almost surely, 2^10727808 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 10727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592960).

10727808 is an abundant number, since it is smaller than the sum of its proper divisors (24458112).

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

10727808 is a wasteful number, since it uses less digits than its factorization.

10727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 10727808 is about 3275.3332654861. Note that the first 3 decimals coincide. The cubic root of 10727808 is about 220.5482743529.

The spelling of 10727808 in words is "ten million, seven hundred twenty-seven thousand, eight hundred eight".