13893264 has 180 divisors, whose sum is σ = 49617360. Its totient is φ = 3588480.

The previous prime is 13893263. The next prime is 13893277. The reversal of 13893264 is 46239831.

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 not an unprimeable number, because it can be changed into a prime (13893263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77527 + ... + 77705.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^13893264 is an apocalyptic number.

13893264 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 13893264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13893264 is an abundant number, since it is smaller than the sum of its proper divisors (35724096).

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

13893264 is a wasteful number, since it uses less digits than its factorization.

13893264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13893264 is about 3727.3668990321. The cubic root of 13893264 is about 240.4001657432.

The spelling of 13893264 in words is "thirteen million, eight hundred ninety-three thousand, two hundred sixty-four".