13545760 has 48 divisors (see below), whose sum is σ = 33046272. Its totient is φ = 5241600.

The previous prime is 13545733. The next prime is 13545767. The reversal of 13545760 is 6754531.

It is a super-2 number, since 2×13545760² = 366975227955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13545767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3595 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (688464).

Almost surely, 2^13545760 is an apocalyptic number.

13545760 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 13545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523136).

13545760 is an abundant number, since it is smaller than the sum of its proper divisors (19500512).

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

13545760 is a wasteful number, since it uses less digits than its factorization.

13545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 13545760 is about 3680.4564934258. The cubic root of 13545760 is about 238.3788894719.

The spelling of 13545760 in words is "thirteen million, five hundred forty-five thousand, seven hundred sixty".