13534560 has 192 divisors, whose sum is σ = 51226560. Its totient is φ = 3317760.

The previous prime is 13534531. The next prime is 13534571. The reversal of 13534560 is 6543531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56040 + ... + 56280.

It is an arithmetic number, because the mean of its divisors is an integer number (266805).

Almost surely, 2^13534560 is an apocalyptic number.

13534560 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 13534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

13534560 is an abundant number, since it is smaller than the sum of its proper divisors (37692000).

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

13534560 is a wasteful number, since it uses less digits than its factorization.

13534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13534560 is about 3678.9346283945. The cubic root of 13534560 is about 238.3131719895.

It can be divided in two parts, 135 and 34560, that multiplied together give a square (4665600 = 2160²).

The spelling of 13534560 in words is "thirteen million, five hundred thirty-four thousand, five hundred sixty".