13263840 has 144 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3456000.

The previous prime is 13263829. The next prime is 13263851. The reversal of 13263840 is 4836231.

It is a happy number.

13263840 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (13263829) and next prime (13263851).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 87765 + ... + 87915.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^13263840 is an apocalyptic number.

13263840 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 13263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13263840 is an abundant number, since it is smaller than the sum of its proper divisors (33045696).

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

13263840 is a wasteful number, since it uses less digits than its factorization.

13263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13263840 is about 3641.9555186740. The cubic root of 13263840 is about 236.7135352085.

The spelling of 13263840 in words is "thirteen million, two hundred sixty-three thousand, eight hundred forty".