10048644 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3081888.

The previous prime is 10048637. The next prime is 10048667. The reversal of 10048644 is 44684001.

10048644 is a `hidden beast` number, since 10 + 0 + 4 + 8 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121027 + ... + 121109.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 2^10048644 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 10048644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10048644 is an abundant number, since it is smaller than the sum of its proper divisors (18175356).

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

10048644 is a wasteful number, since it uses less digits than its factorization.

10048644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10048644 is about 3169.9596211939. The cubic root of 10048644 is about 215.7922384984.

The spelling of 10048644 in words is "ten million, forty-eight thousand, six hundred forty-four".