10406848 has 28 divisors (see below), whose sum is σ = 20848320. Its totient is φ = 5153792.

The previous prime is 10406843. The next prime is 10406849. The reversal of 10406848 is 84860401.

10406848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6513 + ... + 7951.

Almost surely, 2^10406848 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 10406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424160).

10406848 is an abundant number, since it is smaller than the sum of its proper divisors (10441472).

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

10406848 is a wasteful number, since it uses less digits than its factorization.

10406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 10406848 is about 3225.9646619267. The cubic root of 10406848 is about 218.3264754497.

It can be divided in two parts, 10406 and 848, that multiplied together give a palindrome (8824288).

The spelling of 10406848 in words is "ten million, four hundred six thousand, eight hundred forty-eight".