13785456 has 40 divisors (see below), whose sum is σ = 36446080. Its totient is φ = 4487616.

The previous prime is 13785449. The next prime is 13785461. The reversal of 13785456 is 65458731.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1276 + ... + 5403.

It is an arithmetic number, because the mean of its divisors is an integer number (911152).

Almost surely, 2^13785456 is an apocalyptic number.

13785456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13785456 is an abundant number, since it is smaller than the sum of its proper divisors (22660624).

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

13785456 is a wasteful number, since it uses less digits than its factorization.

13785456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6727 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 13785456 is about 3712.8770515599. The cubic root of 13785456 is about 239.7767368153.

It can be divided in two parts, 13785 and 456, that added together give a palindrome (14241).

The spelling of 13785456 in words is "thirteen million, seven hundred eighty-five thousand, four hundred fifty-six".