13500816 has 80 divisors (see below), whose sum is σ = 41616384. Its totient is φ = 3687552.

The previous prime is 13500769. The next prime is 13500827. The reversal of 13500816 is 61800531.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6855 + ... + 8601.

Almost surely, 2^13500816 is an apocalyptic number.

13500816 is a gapful number since it is divisible by the number (16) 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 13500816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808192).

13500816 is an abundant number, since it is smaller than the sum of its proper divisors (28115568).

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

13500816 is a wasteful number, since it uses less digits than its factorization.

13500816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

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

The square root of 13500816 is about 3674.3456560318. The cubic root of 13500816 is about 238.1149551773.

The spelling of 13500816 in words is "thirteen million, five hundred thousand, eight hundred sixteen".