13882464 has 144 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 4209408.

The previous prime is 13882459. The next prime is 13882469. The reversal of 13882464 is 46428831.

It is an interprime number because it is at equal distance from previous prime (13882459) and next prime (13882469).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13882464² = 385445613422592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235267 + ... + 235325.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^13882464 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 13882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

13882464 is an abundant number, since it is smaller than the sum of its proper divisors (29360736).

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

13882464 is a wasteful number, since it uses less digits than its factorization.

13882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13882464 is about 3725.9178734910. The cubic root of 13882464 is about 240.3378574948.

The spelling of 13882464 in words is "thirteen million, eight hundred eighty-two thousand, four hundred sixty-four".