13257760 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 4945920.

The previous prime is 13257743. The next prime is 13257781. The reversal of 13257760 is 6775231.

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, 282057 + ... + 282103.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

It is a vampire number, since it can be written as 1763 ⋅ 7520 (with its own digits).

Almost surely, 2^13257760 is an apocalyptic number.

13257760 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 13257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

13257760 is an abundant number, since it is smaller than the sum of its proper divisors (20272352).

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

13257760 is a wasteful number, since it uses less digits than its factorization.

13257760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 13257760 is about 3641.1207065957. The cubic root of 13257760 is about 236.6773607105.

The spelling of 13257760 in words is "thirteen million, two hundred fifty-seven thousand, seven hundred sixty".