10048164 has 96 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 2695680.

The previous prime is 10048163. The next prime is 10048193. The reversal of 10048164 is 46184001.

It is not an unprimeable number, because it can be changed into a prime (10048163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164694 + ... + 164754.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^10048164 is an apocalyptic number.

10048164 is a gapful number since it is divisible by the number (14) 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 10048164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10048164 is an abundant number, since it is smaller than the sum of its proper divisors (18450012).

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

10048164 is a wasteful number, since it uses less digits than its factorization.

10048164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

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

The square root of 10048164 is about 3169.8839095462. The cubic root of 10048164 is about 215.7888024818.

The spelling of 10048164 in words is "ten million, forty-eight thousand, one hundred sixty-four".