13385472 has 72 divisors (see below), whose sum is σ = 36914640. Its totient is φ = 4300800.

The previous prime is 13385431. The next prime is 13385531. The reversal of 13385472 is 27458331.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21972 + ... + 22572.

Almost surely, 2^13385472 is an apocalyptic number.

13385472 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 13385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457320).

13385472 is an abundant number, since it is smaller than the sum of its proper divisors (23529168).

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

13385472 is an equidigital number, since it uses as much as digits as its factorization.

13385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 13385472 is about 3658.6161318181. The cubic root of 13385472 is about 237.4349044128.

The spelling of 13385472 in words is "thirteen million, three hundred eighty-five thousand, four hundred seventy-two".