13017840 has 80 divisors (see below), whose sum is σ = 44032896. Its totient is φ = 3155200.

The previous prime is 13017833. The next prime is 13017841. The reversal of 13017840 is 4871031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13017840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13017841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175 + ... + 5105.

Almost surely, 2^13017840 is an apocalyptic number.

13017840 is a gapful number since it is divisible by the number (10) 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 13017840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016448).

13017840 is an abundant number, since it is smaller than the sum of its proper divisors (31015056).

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

13017840 is a wasteful number, since it uses less digits than its factorization.

13017840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13017840 is about 3608.0243901615. The cubic root of 13017840 is about 235.2409780977.

Adding to 13017840 its reverse (4871031), we get a palindrome (17888871).

The spelling of 13017840 in words is "thirteen million, seventeen thousand, eight hundred forty".