13500784 has 40 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 6052800.

The previous prime is 13500769. The next prime is 13500827. The reversal of 13500784 is 48700531.

It is a super-2 number, since 2×13500784² = 364542337229312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13419 + ... + 14389.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 2^13500784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

13500784 is an abundant number, since it is smaller than the sum of its proper divisors (15425936).

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

13500784 is a wasteful number, since it uses less digits than its factorization.

13500784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13500784 is about 3674.3413015124. The cubic root of 13500784 is about 238.1147670483.

The spelling of 13500784 in words is "thirteen million, five hundred thousand, seven hundred eighty-four".