12464820 has 96 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 3237120.

The previous prime is 12464813. The next prime is 12464833. The reversal of 12464820 is 2846421.

12464820 = T₃₀₅ + T₃₀₆ + ... + T₄₆₈.

12464820 is a `hidden beast` number, since 12 + 4 + 648 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21859 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (414540).

Almost surely, 2^12464820 is an apocalyptic number.

12464820 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 12464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897920).

12464820 is an abundant number, since it is smaller than the sum of its proper divisors (27331020).

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

12464820 is a wasteful number, since it uses less digits than its factorization.

12464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12464820 is about 3530.5551971326. Note that the first 3 decimals coincide. The cubic root of 12464820 is about 231.8615156487.

The spelling of 12464820 in words is "twelve million, four hundred sixty-four thousand, eight hundred twenty".