13330464 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3747072.

The previous prime is 13330451. The next prime is 13330477. The reversal of 13330464 is 46403331.

It is an interprime number because it is at equal distance from previous prime (13330451) and next prime (13330477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55657 + ... + 55895.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^13330464 is an apocalyptic number.

13330464 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 13330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13330464 is an abundant number, since it is smaller than the sum of its proper divisors (27312096).

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

13330464 is a wasteful number, since it uses less digits than its factorization.

13330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 13330464 is about 3651.0907959129. The cubic root of 13330464 is about 237.1092092248.

Adding to 13330464 its reverse (46403331), we get a palindrome (59733795).

The spelling of 13330464 in words is "thirteen million, three hundred thirty thousand, four hundred sixty-four".