12854640 has 80 divisors (see below), whose sum is σ = 41961600. Its totient is φ = 3246336.

The previous prime is 12854623. The next prime is 12854657. The reversal of 12854640 is 4645821.

It is an interprime number because it is at equal distance from previous prime (12854623) and next prime (12854657).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12854598 and 12854607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (524520).

Almost surely, 2^12854640 is an apocalyptic number.

12854640 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 12854640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980800).

12854640 is an abundant number, since it is smaller than the sum of its proper divisors (29106960).

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

12854640 is a wasteful number, since it uses less digits than its factorization.

12854640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12854640 is about 3585.3368042626. The cubic root of 12854640 is about 234.2537972441.

The spelling of 12854640 in words is "twelve million, eight hundred fifty-four thousand, six hundred forty".