13854680 has 32 divisors (see below), whose sum is σ = 35627040. Its totient is φ = 4750080.

The previous prime is 13854661. The next prime is 13854683. The reversal of 13854680 is 8645831.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13854680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24461 + ... + 25020.

It is an arithmetic number, because the mean of its divisors is an integer number (1113345).

Almost surely, 2^13854680 is an apocalyptic number.

13854680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13854680 is an abundant number, since it is smaller than the sum of its proper divisors (21772360).

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

13854680 is a wasteful number, since it uses less digits than its factorization.

13854680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49499 (or 49495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 13854680 is about 3722.1875288599. The cubic root of 13854680 is about 240.1774151135.

It can be divided in two parts, 1385 and 4680, that multiplied together give a triangular number (6481800 = T₃₆₀₀).

The spelling of 13854680 in words is "thirteen million, eight hundred fifty-four thousand, six hundred eighty".