12642320 has 20 divisors (see below), whose sum is σ = 29393580. Its totient is φ = 5056896.

The previous prime is 12642319. The next prime is 12642337. The reversal of 12642320 is 2324621.

It can be written as a sum of positive squares in 2 ways, for example, as 7907344 + 4734976 = 2812^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12642292 and 12642301.

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 3 ways as a sum of consecutive naturals, for example, 78935 + ... + 79094.

It is an arithmetic number, because the mean of its divisors is an integer number (1469679).

Almost surely, 2^12642320 is an apocalyptic number.

12642320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12642320 is an abundant number, since it is smaller than the sum of its proper divisors (16751260).

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

12642320 is a wasteful number, since it uses less digits than its factorization.

12642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158042 (or 158036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12642320 is about 3555.6040274474. The cubic root of 12642320 is about 232.9569077964.

Adding to 12642320 its reverse (2324621), we get a palindrome (14966941).

The spelling of 12642320 in words is "twelve million, six hundred forty-two thousand, three hundred twenty".