13249440 has 96 divisors (see below), whose sum is σ = 46388160. Its totient is φ = 3532032.

The previous prime is 13249429. The next prime is 13249447. The reversal of 13249440 is 4494231.

13249440 is a `hidden beast` number, since 132 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13249447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2787 + ... + 5853.

It is an arithmetic number, because the mean of its divisors is an integer number (483210).

Almost surely, 2^13249440 is an apocalyptic number.

13249440 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 13249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194080).

13249440 is an abundant number, since it is smaller than the sum of its proper divisors (33138720).

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

13249440 is a wasteful number, since it uses less digits than its factorization.

13249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3077 counting only the distinct ones).

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

The square root of 13249440 is about 3639.9780219117. The cubic root of 13249440 is about 236.6278408393.

It can be divided in two parts, 13249 and 440, that added together give a square (13689 = 117²).

The spelling of 13249440 in words is "thirteen million, two hundred forty-nine thousand, four hundred forty".