13685472 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 4147200.

The previous prime is 13685467. The next prime is 13685479. The reversal of 13685472 is 27458631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224322 + ... + 224382.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^13685472 is an apocalyptic number.

13685472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13685472 is an abundant number, since it is smaller than the sum of its proper divisors (28968048).

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

13685472 is a wasteful number, since it uses less digits than its factorization.

13685472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13685472 is about 3699.3880575036. The cubic root of 13685472 is about 239.1956405361.

It can be divided in two parts, 1368 and 5472, that multiplied together give a square (7485696 = 2736²).

The spelling of 13685472 in words is "thirteen million, six hundred eighty-five thousand, four hundred seventy-two".