13385304 has 64 divisors (see below), whose sum is σ = 38400000. Its totient is φ = 4315680.

The previous prime is 13385299. The next prime is 13385347. The reversal of 13385304 is 40358331.

It is a happy number.

13385304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 7695.

It is an arithmetic number, because the mean of its divisors is an integer number (600000).

Almost surely, 2^13385304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200000).

13385304 is an abundant number, since it is smaller than the sum of its proper divisors (25014696).

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

13385304 is a wasteful number, since it uses less digits than its factorization.

13385304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13385304 is about 3658.5931722453. The cubic root of 13385304 is about 237.4339110664.

It can be divided in two parts, 13385 and 304, that added together give a square (13689 = 117²).

The spelling of 13385304 in words is "thirteen million, three hundred eighty-five thousand, three hundred four".