13534680 has 96 divisors (see below), whose sum is σ = 42251760. Its totient is φ = 3467520.

The previous prime is 13534679. The next prime is 13534681. The reversal of 13534680 is 8643531.

13534680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13534679) and next prime (13534681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221850 + ... + 221910.

Almost surely, 2^13534680 is an apocalyptic number.

13534680 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 13534680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125880).

13534680 is an abundant number, since it is smaller than the sum of its proper divisors (28717080).

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

13534680 is a wasteful number, since it uses less digits than its factorization.

13534680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13534680 is about 3678.9509374277. The cubic root of 13534680 is about 238.3138762975.

The spelling of 13534680 in words is "thirteen million, five hundred thirty-four thousand, six hundred eighty".