13033440 has 192 divisors, whose sum is σ = 52254720. Its totient is φ = 2972160.

The previous prime is 13033439. The next prime is 13033459. The reversal of 13033440 is 4433031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30025 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^13033440 is an apocalyptic number.

13033440 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 13033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

13033440 is an abundant number, since it is smaller than the sum of its proper divisors (39221280).

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

13033440 is a wasteful number, since it uses less digits than its factorization.

13033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13033440 is about 3610.1855907972. The cubic root of 13033440 is about 235.3349080262.

Adding to 13033440 its reverse (4433031), we get a palindrome (17466471).

The spelling of 13033440 in words is "thirteen million, thirty-three thousand, four hundred forty".