10917936 has 80 divisors (see below), whose sum is σ = 31744000. Its totient is φ = 3592512.

The previous prime is 10917917. The next prime is 10917943. The reversal of 10917936 is 63971901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10917936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54765 + ... + 54963.

It is an arithmetic number, because the mean of its divisors is an integer number (396800).

Almost surely, 2^10917936 is an apocalyptic number.

10917936 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 10917936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872000).

10917936 is an abundant number, since it is smaller than the sum of its proper divisors (20826064).

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

10917936 is a wasteful number, since it uses less digits than its factorization.

10917936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 10917936 is about 3304.2300162065. The cubic root of 10917936 is about 221.8435713203.

The spelling of 10917936 in words is "ten million, nine hundred seventeen thousand, nine hundred thirty-six".