10846368 has 72 divisors (see below), whose sum is σ = 33228468. Its totient is φ = 3336192.

The previous prime is 10846351. The next prime is 10846379. The reversal of 10846368 is 86364801.

It is a happy number.

10846368 is a `hidden beast` number, since 10 + 8 + 4 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 1774224 = 3012^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 2296 + ... + 5192.

Almost surely, 2^10846368 is an apocalyptic number.

10846368 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 10846368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614234).

10846368 is an abundant number, since it is smaller than the sum of its proper divisors (22382100).

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

10846368 is a wasteful number, since it uses less digits than its factorization.

10846368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10846368 is about 3293.3824557740. The cubic root of 10846368 is about 221.3577737886.

The spelling of 10846368 in words is "ten million, eight hundred forty-six thousand, three hundred sixty-eight".