13238784 has 180 divisors, whose sum is σ = 43806906. Its totient is φ = 3833856.

The previous prime is 13238779. The next prime is 13238807. The reversal of 13238784 is 48783231.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 4665600 = 2928^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 778744 + ... + 778760.

Almost surely, 2^13238784 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 13238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903453).

13238784 is an abundant number, since it is smaller than the sum of its proper divisors (30568122).

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

13238784 is a wasteful number, since it uses less digits than its factorization.

13238784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13238784 is about 3638.5139823835. The cubic root of 13238784 is about 236.5643870240.

The spelling of 13238784 in words is "thirteen million, two hundred thirty-eight thousand, seven hundred eighty-four".