10706976 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2967552.

The previous prime is 10706959. The next prime is 10707017. The reversal of 10706976 is 67960701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10706976² = 229278670129152, which contains 22 as substring.

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 10706976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94696 + ... + 94808.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^10706976 is an apocalyptic number.

10706976 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 10706976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

10706976 is an abundant number, since it is smaller than the sum of its proper divisors (25145568).

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

10706976 is a wasteful number, since it uses less digits than its factorization.

10706976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 10706976 is about 3272.1515857307. The cubic root of 10706976 is about 220.4054232128.

The spelling of 10706976 in words is "ten million, seven hundred six thousand, nine hundred seventy-six".