10214848 has 42 divisors (see below), whose sum is σ = 23320248. Its totient is φ = 4348800.

The previous prime is 10214843. The next prime is 10214851. The reversal of 10214848 is 84841201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214843) 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 5 ways as a sum of consecutive naturals, for example, 67573 + ... + 67723.

It is an arithmetic number, because the mean of its divisors is an integer number (555244).

Almost surely, 2^10214848 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 10214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660124).

10214848 is an abundant number, since it is smaller than the sum of its proper divisors (13105400).

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

10214848 is an frugal number, since it uses more digits than its factorization.

10214848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 10214848 is about 3196.0675837660. The cubic root of 10214848 is about 216.9754692056.

Multiplying 10214848 by its sum of digits (28), we get a square (286015744 = 16912²).

10214848 divided by its sum of digits (28) gives a square (364816 = 604²).

The spelling of 10214848 in words is "ten million, two hundred fourteen thousand, eight hundred forty-eight".