10849152 has 64 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3423744.

The previous prime is 10849141. The next prime is 10849183. The reversal of 10849152 is 25194801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6553 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^10849152 is an apocalyptic number.

10849152 is a gapful number since it is divisible by the number (12) 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 10849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10849152 is an abundant number, since it is smaller than the sum of its proper divisors (19506048).

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

10849152 is a wasteful number, since it uses less digits than its factorization.

10849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 10849152 is about 3293.8050944159. The cubic root of 10849152 is about 221.3767112284.

It can be divided in two parts, 108 and 49152, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 10849152 in words is "ten million, eight hundred forty-nine thousand, one hundred fifty-two".