13185240 has 64 divisors (see below), whose sum is σ = 41644800. Its totient is φ = 3330432.

The previous prime is 13185223. The next prime is 13185257. The reversal of 13185240 is 4258131.

Added to its reverse (4258131) it gives a triangular number (17443371 = T₅₉₀₆).

It is an interprime number because it is at equal distance from previous prime (13185223) and next prime (13185257).

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 13185240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (650700).

Almost surely, 2^13185240 is an apocalyptic number.

13185240 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 13185240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822400).

13185240 is an abundant number, since it is smaller than the sum of its proper divisors (28459560).

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

13185240 is a wasteful number, since it uses less digits than its factorization.

13185240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13185240 is about 3631.1485786181. The cubic root of 13185240 is about 236.2450294299.

Adding to 13185240 its reverse (4258131), we get a triangular number (17443371 = T₅₉₀₆).

The spelling of 13185240 in words is "thirteen million, one hundred eighty-five thousand, two hundred forty".