12894840 has 288 divisors, whose sum is σ = 52818480. Its totient is φ = 2709504.

The previous prime is 12894839. The next prime is 12894841. The reversal of 12894840 is 4849821.

It is an interprime number because it is at equal distance from previous prime (12894839) and next prime (12894841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12894795 and 12894804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299859 + ... + 299901.

Almost surely, 2^12894840 is an apocalyptic number.

12894840 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 12894840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409240).

12894840 is an abundant number, since it is smaller than the sum of its proper divisors (39923640).

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

12894840 is a wasteful number, since it uses less digits than its factorization.

12894840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12894840 is about 3590.9385959662. The cubic root of 12894840 is about 234.4977351827.

The spelling of 12894840 in words is "twelve million, eight hundred ninety-four thousand, eight hundred forty".