13648050 has 72 divisors (see below), whose sum is σ = 39505284. Its totient is φ = 3358080.

The previous prime is 13648043. The next prime is 13648051. The reversal of 13648050 is 5084631.

13648050 is a `hidden beast` number, since 13 + 648 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1766241 + 11881809 = 1329^2 + 3447^2 .

It is not an unprimeable number, because it can be changed into a prime (13648051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4684 + ... + 7016.

Almost surely, 2^13648050 is an apocalyptic number.

13648050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752642).

13648050 is an abundant number, since it is smaller than the sum of its proper divisors (25857234).

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

13648050 is a wasteful number, since it uses less digits than its factorization.

13648050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13648050 is about 3694.3267316251. The cubic root of 13648050 is about 238.9774200641.

The spelling of 13648050 in words is "thirteen million, six hundred forty-eight thousand, fifty".