13948264 has 32 divisors (see below), whose sum is σ = 29456640. Its totient is φ = 6134400.

The previous prime is 13948247. The next prime is 13948267. The reversal of 13948264 is 46284931.

13948264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13948264² = 389108137227392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13948267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 5284.

It is an arithmetic number, because the mean of its divisors is an integer number (920520).

Almost surely, 2^13948264 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 13948264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728320).

13948264 is an abundant number, since it is smaller than the sum of its proper divisors (15508376).

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

13948264 is a wasteful number, since it uses less digits than its factorization.

13948264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5157 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 13948264 is about 3734.7374740402. The cubic root of 13948264 is about 240.7169763413.

The spelling of 13948264 in words is "thirteen million, nine hundred forty-eight thousand, two hundred sixty-four".