13820540 has 24 divisors (see below), whose sum is σ = 29309280. Its totient is φ = 5473728.

The previous prime is 13820531. The next prime is 13820551. The reversal of 13820540 is 4502831.

It is a super-3 number, since 3×13820540³ (a number of 22 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1295 + ... + 5414.

It is an arithmetic number, because the mean of its divisors is an integer number (1221220).

Almost surely, 2^13820540 is an apocalyptic number.

13820540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820540 is an abundant number, since it is smaller than the sum of its proper divisors (15488740).

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

13820540 is a wasteful number, since it uses less digits than its factorization.

13820540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13820540 is about 3717.5986873249. The cubic root of 13820540 is about 239.9799751811.

The spelling of 13820540 in words is "thirteen million, eight hundred twenty thousand, five hundred forty".