12853920 has 96 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3363840.

The previous prime is 12853877. The next prime is 12853963. The reversal of 12853920 is 2935821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12853877) and next prime (12853963).

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29061 + ... + 29499.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^12853920 is an apocalyptic number.

12853920 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 12853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12853920 is an abundant number, since it is smaller than the sum of its proper divisors (28393440).

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

12853920 is a wasteful number, since it uses less digits than its factorization.

12853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12853920 is about 3585.2363938798. The cubic root of 12853920 is about 234.2494235735.

The spelling of 12853920 in words is "twelve million, eight hundred fifty-three thousand, nine hundred twenty".