10849248 has 96 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 3483648.

The previous prime is 10849231. The next prime is 10849249. The reversal of 10849248 is 84294801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10849249) by changing a digit.

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, 24840 + ... + 25272.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^10849248 is an apocalyptic number.

10849248 is a gapful number since it is divisible by the number (18) 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 10849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

10849248 is an abundant number, since it is smaller than the sum of its proper divisors (21961152).

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

10849248 is a wasteful number, since it uses less digits than its factorization.

10849248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10849248 is about 3293.8196671949. The cubic root of 10849248 is about 221.3773641858.

The spelling of 10849248 in words is "ten million, eight hundred forty-nine thousand, two hundred forty-eight".