10852920 has 128 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 2668032.

The previous prime is 10852913. The next prime is 10852921. The reversal of 10852920 is 2925801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852921) 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 31 ways as a sum of consecutive naturals, for example, 13654 + ... + 14426.

Almost surely, 2^10852920 is an apocalyptic number.

10852920 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 10852920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

10852920 is an abundant number, since it is smaller than the sum of its proper divisors (28156680).

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

10852920 is a wasteful number, since it uses less digits than its factorization.

10852920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10852920 is about 3294.3770276032. The cubic root of 10852920 is about 221.4023369147.

It can be divided in two parts, 1085 and 2920, that added together give a triangular number (4005 = T₈₉).

The spelling of 10852920 in words is "ten million, eight hundred fifty-two thousand, nine hundred twenty".