13170240 has 168 divisors, whose sum is σ = 48143160. Its totient is φ = 3293184.

The previous prime is 13170229. The next prime is 13170247. The reversal of 13170240 is 4207131.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 12616704 = 744^2 + 3552^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13170247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48826 + ... + 49094.

Almost surely, 2^13170240 is an apocalyptic number.

13170240 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 13170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071580).

13170240 is an abundant number, since it is smaller than the sum of its proper divisors (34972920).

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

13170240 is a wasteful number, since it uses less digits than its factorization.

13170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13170240 is about 3629.0825286841. The cubic root of 13170240 is about 236.1554085079.

Adding to 13170240 its reverse (4207131), we get a palindrome (17377371).

The spelling of 13170240 in words is "thirteen million, one hundred seventy thousand, two hundred forty".