13842840 has 64 divisors (see below), whose sum is σ = 45308160. Its totient is φ = 3355520.

The previous prime is 13842827. The next prime is 13842853. The reversal of 13842840 is 4824831.

13842840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13842827) and next prime (13842853).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13842798 and 13842807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (707940).

Almost surely, 2^13842840 is an apocalyptic number.

13842840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842840 is an abundant number, since it is smaller than the sum of its proper divisors (31465320).

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

13842840 is a wasteful number, since it uses less digits than its factorization.

13842840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13842840 is about 3720.5967263330. The cubic root of 13842840 is about 240.1089782858.

Subtracting from 13842840 its reverse (4824831), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 1384 and 2840, that added together give a palindrome (4224).

The spelling of 13842840 in words is "thirteen million, eight hundred forty-two thousand, eight hundred forty".