10853120 has 72 divisors (see below), whose sum is σ = 26612880. Its totient is φ = 4239360.

The previous prime is 10853113. The next prime is 10853147. The reversal of 10853120 is 2135801.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10853092 and 10853101.

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, 78011 + ... + 78149.

Almost surely, 2^10853120 is an apocalyptic number.

10853120 is a gapful number since it is divisible by the number (10) 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 10853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306440).

10853120 is an abundant number, since it is smaller than the sum of its proper divisors (15759760).

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

10853120 is an equidigital number, since it uses as much as digits as its factorization.

10853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10853120 is about 3294.4073822161. The cubic root of 10853120 is about 221.4036969233.

Adding to 10853120 its reverse (2135801), we get a palindrome (12988921).

The spelling of 10853120 in words is "ten million, eight hundred fifty-three thousand, one hundred twenty".