13851264 has 64 divisors (see below), whose sum is σ = 42056640. Its totient is φ = 3956736.

The previous prime is 13851263. The next prime is 13851287. The reversal of 13851264 is 46215831.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13851263) 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, 112 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (657135).

Almost surely, 2^13851264 is an apocalyptic number.

13851264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028320).

13851264 is an abundant number, since it is smaller than the sum of its proper divisors (28205376).

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

13851264 is an equidigital number, since it uses as much as digits as its factorization.

13851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5165 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 13851264 is about 3721.7286306231. The cubic root of 13851264 is about 240.1576741670.

The spelling of 13851264 in words is "thirteen million, eight hundred fifty-one thousand, two hundred sixty-four".