13785420 has 48 divisors (see below), whose sum is σ = 42110208. Its totient is φ = 3341760.

The previous prime is 13785407. The next prime is 13785427. The reversal of 13785420 is 2458731.

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

It is not an unprimeable number, because it can be changed into a prime (13785427) 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 15 ways as a sum of consecutive naturals, for example, 9784 + ... + 11103.

It is an arithmetic number, because the mean of its divisors is an integer number (877296).

Almost surely, 2^13785420 is an apocalyptic number.

13785420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13785420 is an abundant number, since it is smaller than the sum of its proper divisors (28324788).

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

13785420 is a wasteful number, since it uses less digits than its factorization.

13785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910 (or 20908 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13785420 is about 3712.8722035642. The cubic root of 13785420 is about 239.7765280936.

The spelling of 13785420 in words is "thirteen million, seven hundred eighty-five thousand, four hundred twenty".