10364850 has 72 divisors (see below), whose sum is σ = 28783872. Its totient is φ = 2671200.

The previous prime is 10364843. The next prime is 10364857. The reversal of 10364850 is 5846301.

10364850 is a `hidden beast` number, since 10 + 3 + 648 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10364843) and next prime (10364857).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10364857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13579 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (399776).

Almost surely, 2^10364850 is an apocalyptic number.

10364850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391936).

10364850 is an abundant number, since it is smaller than the sum of its proper divisors (18419022).

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

10364850 is a wasteful number, since it uses less digits than its factorization.

10364850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10364850 is about 3219.4487105714. The cubic root of 10364850 is about 218.0323858403.

It can be divided in two parts, 1036 and 4850, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 10364850 in words is "ten million, three hundred sixty-four thousand, eight hundred fifty".