12573360 has 80 divisors (see below), whose sum is σ = 43315680. Its totient is φ = 3352320.

The previous prime is 12573359. The next prime is 12573361. The reversal of 12573360 is 6337521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12573359) and next prime (12573361).

It is a tau number, because it is divible by the number of its divisors (80).

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 (12573361) 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, 751 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (541446).

Almost surely, 2^12573360 is an apocalyptic number.

12573360 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 12573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21657840).

12573360 is an abundant number, since it is smaller than the sum of its proper divisors (30742320).

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

12573360 is a wasteful number, since it uses less digits than its factorization.

12573360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 12573360 is about 3545.8933994129. The cubic root of 12573360 is about 232.5325656777.

The spelling of 12573360 in words is "twelve million, five hundred seventy-three thousand, three hundred sixty".