10824164 has 24 divisors (see below), whose sum is σ = 20901048. Its totient is φ = 4872960.

The previous prime is 10824139. The next prime is 10824169. The reversal of 10824164 is 46142801.

It can be written as a sum of positive squares in 4 ways, for example, as 532900 + 10291264 = 730^2 + 3208^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 4670.

It is an arithmetic number, because the mean of its divisors is an integer number (870877).

Almost surely, 2^10824164 is an apocalyptic number.

It is an amenable number.

10824164 is a deficient number, since it is larger than the sum of its proper divisors (10076884).

10824164 is a wasteful number, since it uses less digits than its factorization.

10824164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10824164 is about 3290.0097264294. The cubic root of 10824164 is about 221.2066207101.

Adding to 10824164 its reverse (46142801), we get a palindrome (56966965).

It can be divided in two parts, 108241 and 64, that multiplied together give a square (6927424 = 2632²).

The spelling of 10824164 in words is "ten million, eight hundred twenty-four thousand, one hundred sixty-four".