13146360 has 64 divisors (see below), whose sum is σ = 40020480. Its totient is φ = 3454080.

The previous prime is 13146349. The next prime is 13146361. The reversal of 13146360 is 6364131.

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 13146360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7749 + ... + 9291.

It is an arithmetic number, because the mean of its divisors is an integer number (625320).

Almost surely, 2^13146360 is an apocalyptic number.

13146360 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 13146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010240).

13146360 is an abundant number, since it is smaller than the sum of its proper divisors (26874120).

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

13146360 is a wasteful number, since it uses less digits than its factorization.

13146360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13146360 is about 3625.7909481932. The cubic root of 13146360 is about 236.0125914952.

The spelling of 13146360 in words is "thirteen million, one hundred forty-six thousand, three hundred sixty".