13821480 has 48 divisors (see below), whose sum is σ = 44920980. Its totient is φ = 3685632.

The previous prime is 13821473. The next prime is 13821481. The reversal of 13821480 is 8412831.

It can be written as a sum of positive squares in 2 ways, for example, as 13439556 + 381924 = 3666^2 + 618^2 .

It is not an unprimeable number, because it can be changed into a prime (13821481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18837 + ... + 19556.

Almost surely, 2^13821480 is an apocalyptic number.

13821480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13821480 is an abundant number, since it is smaller than the sum of its proper divisors (31099500).

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

13821480 is a wasteful number, since it uses less digits than its factorization.

13821480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38410 (or 38403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13821480 is about 3717.7251108709. The cubic root of 13821480 is about 239.9854157804.

The spelling of 13821480 in words is "thirteen million, eight hundred twenty-one thousand, four hundred eighty".