13264280 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 4855680.

The previous prime is 13264271. The next prime is 13264289. The reversal of 13264280 is 8246231.

It is an interprime number because it is at equal distance from previous prime (13264271) and next prime (13264289).

It is a super-2 number, since 2×13264280² = 351882247836800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264289) 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 15 ways as a sum of consecutive naturals, for example, 23279 + ... + 23841.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 2^13264280 is an apocalyptic number.

13264280 is a gapful number since it is divisible by the number (10) 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 13264280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

13264280 is an abundant number, since it is smaller than the sum of its proper divisors (19222120).

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

13264280 is a wasteful number, since it uses less digits than its factorization.

13264280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13264280 is about 3642.0159252809. The cubic root of 13264280 is about 236.7161526708.

The spelling of 13264280 in words is "thirteen million, two hundred sixty-four thousand, two hundred eighty".