13782648 has 128 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3778560.

The previous prime is 13782647. The next prime is 13782667. The reversal of 13782648 is 84628731.

13782648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13782648² = 379922771783808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166015 + ... + 166097.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^13782648 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 13782648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13782648 is an abundant number, since it is smaller than the sum of its proper divisors (27585672).

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

13782648 is a wasteful number, since it uses less digits than its factorization.

13782648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 13782648 is about 3712.4988888887. The cubic root of 13782648 is about 239.7604554340.

The spelling of 13782648 in words is "thirteen million, seven hundred eighty-two thousand, six hundred forty-eight".