13263264 has 240 divisors, whose sum is σ = 48299328. Its totient is φ = 3483648.

The previous prime is 13263251. The next prime is 13263331. The reversal of 13263264 is 46236231.

It is a hoax number, since the sum of its digits (27) 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 (27).

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

Its product of digits (5184) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308427 + ... + 308469.

Almost surely, 2^13263264 is an apocalyptic number.

13263264 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 13263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149664).

13263264 is an abundant number, since it is smaller than the sum of its proper divisors (35036064).

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

13263264 is a wasteful number, since it uses less digits than its factorization.

13263264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13263264 is about 3641.8764394197. The cubic root of 13263264 is about 236.7101086249.

Adding to 13263264 its reverse (46236231), we get a palindrome (59499495).

The spelling of 13263264 in words is "thirteen million, two hundred sixty-three thousand, two hundred sixty-four".