13485024 has 72 divisors (see below), whose sum is σ = 43832880. Its totient is φ = 3852288.

The previous prime is 13485019. The next prime is 13485049. The reversal of 13485024 is 42058431.

13485024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (608790).

Almost surely, 2^13485024 is an apocalyptic number.

13485024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13485024 is an abundant number, since it is smaller than the sum of its proper divisors (30347856).

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

13485024 is a wasteful number, since it uses less digits than its factorization.

13485024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13485024 is about 3672.1960731965. The cubic root of 13485024 is about 238.0220773720.

It can be divided in two parts, 134 and 85024, that added together give a palindrome (85158).

The spelling of 13485024 in words is "thirteen million, four hundred eighty-five thousand, twenty-four".