13641264 has 160 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 3587328.

The previous prime is 13641263. The next prime is 13641269. The reversal of 13641264 is 46214631.

13641264 is a `hidden beast` number, since 13 + 641 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641263) 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, 39139 + ... + 39485.

It is an arithmetic number, because the mean of its divisors is an integer number (302064).

Almost surely, 2^13641264 is an apocalyptic number.

13641264 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 13641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

13641264 is an abundant number, since it is smaller than the sum of its proper divisors (34688976).

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

13641264 is a wasteful number, since it uses less digits than its factorization.

13641264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13641264 is about 3693.4081821537. The cubic root of 13641264 is about 238.9378058671.

Adding to 13641264 its reverse (46214631), we get a palindrome (59855895).

It can be divided in two parts, 1364 and 1264, that added together give a triangular number (2628 = T₇₂).

The spelling of 13641264 in words is "thirteen million, six hundred forty-one thousand, two hundred sixty-four".