13501680 has 80 divisors (see below), whose sum is σ = 42345504. Its totient is φ = 3558400.

The previous prime is 13501673. The next prime is 13501681. The reversal of 13501680 is 8610531.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13501680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13501681) 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, 23962 + ... + 24518.

Almost surely, 2^13501680 is an apocalyptic number.

13501680 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 13501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172752).

13501680 is an abundant number, since it is smaller than the sum of its proper divisors (28843824).

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

13501680 is a wasteful number, since it uses less digits than its factorization.

13501680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13501680 is about 3674.4632261053. The cubic root of 13501680 is about 238.1200345476.

The spelling of 13501680 in words is "thirteen million, five hundred one thousand, six hundred eighty".