13027924 has 36 divisors (see below), whose sum is σ = 28566804. Its totient is φ = 5152896.

The previous prime is 13027897. The next prime is 13027943. The reversal of 13027924 is 42972031.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 12250000 = 882^2 + 3500^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13027892 and 13027901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 5104.

Almost surely, 2^13027924 is an apocalyptic number.

13027924 is a gapful number since it is divisible by the number (14) 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 13027924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283402).

13027924 is an abundant number, since it is smaller than the sum of its proper divisors (15538880).

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

13027924 is a wasteful number, since it uses less digits than its factorization.

13027924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13027924 is about 3609.4215603058. The cubic root of 13027924 is about 235.3017039368.

Adding to 13027924 its reverse (42972031), we get a palindrome (55999955).

The spelling of 13027924 in words is "thirteen million, twenty-seven thousand, nine hundred twenty-four".