13733280 has 288 divisors, whose sum is σ = 55702080. Its totient is φ = 3133440.

The previous prime is 13733249. The next prime is 13733311. The reversal of 13733280 is 8233731.

It is an interprime number because it is at equal distance from previous prime (13733249) and next prime (13733311).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807832 + ... + 807848.

It is an arithmetic number, because the mean of its divisors is an integer number (193410).

Almost surely, 2^13733280 is an apocalyptic number.

13733280 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 13733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27851040).

13733280 is an abundant number, since it is smaller than the sum of its proper divisors (41968800).

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

13733280 is a wasteful number, since it uses less digits than its factorization.

13733280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13733280 is about 3705.8440334153. The cubic root of 13733280 is about 239.4738473571.

The spelling of 13733280 in words is "thirteen million, seven hundred thirty-three thousand, two hundred eighty".