13019648 has 40 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 6384640.

The previous prime is 13019647. The next prime is 13019651. The reversal of 13019648 is 84691031.

It is a happy number.

It is a super-2 number, since 2×13019648² = 339022468087808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13019647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29993 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^13019648 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 13019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

13019648 is an abundant number, since it is smaller than the sum of its proper divisors (13496512).

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

13019648 is an frugal number, since it uses more digits than its factorization.

13019648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13019648 is about 3608.2749340925. The cubic root of 13019648 is about 235.2518681788.

The spelling of 13019648 in words is "thirteen million, nineteen thousand, six hundred forty-eight".