13507680 has 96 divisors (see below), whose sum is σ = 43110144. Its totient is φ = 3554816.

The previous prime is 13507643. The next prime is 13507717. The reversal of 13507680 is 8670531.

It is an interprime number because it is at equal distance from previous prime (13507643) and next prime (13507717).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

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, 51229 + ... + 51491.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 2^13507680 is an apocalyptic number.

13507680 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 13507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).

13507680 is an abundant number, since it is smaller than the sum of its proper divisors (29602464).

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

13507680 is a wasteful number, since it uses less digits than its factorization.

13507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13507680 is about 3675.2795812020. The cubic root of 13507680 is about 238.1553019767.

The spelling of 13507680 in words is "thirteen million, five hundred seven thousand, six hundred eighty".