10164048 has 80 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 3207168.

The previous prime is 10164029. The next prime is 10164071. The reversal of 10164048 is 84046101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104736 + ... + 104832.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^10164048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

10164048 is an abundant number, since it is smaller than the sum of its proper divisors (17542512).

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

10164048 is a wasteful number, since it uses less digits than its factorization.

10164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10164048 is about 3188.1104121407. The cubic root of 10164048 is about 216.6151872436.

The spelling of 10164048 in words is "ten million, one hundred sixty-four thousand, forty-eight".