10705968 has 240 divisors, whose sum is σ = 39719680. Its totient is φ = 2612736.

The previous prime is 10705967. The next prime is 10705993. The reversal of 10705968 is 86950701.

It is a super-2 number, since 2×10705968² = 229235501634048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10705967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248955 + ... + 248997.

Almost surely, 2^10705968 is an apocalyptic number.

10705968 is a gapful number since it is divisible by the number (18) 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 10705968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859840).

10705968 is an abundant number, since it is smaller than the sum of its proper divisors (29013712).

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

10705968 is a wasteful number, since it uses less digits than its factorization.

10705968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10705968 is about 3271.9975550113. The cubic root of 10705968 is about 220.3985063628.

The spelling of 10705968 in words is "ten million, seven hundred five thousand, nine hundred sixty-eight".