13281840 has 320 divisors, whose sum is σ = 54996480. Its totient is φ = 2903040.

The previous prime is 13281823. The next prime is 13281889. The reversal of 13281840 is 4818231.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308859 + ... + 308901.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 2^13281840 is an apocalyptic number.

13281840 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 13281840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

13281840 is an abundant number, since it is smaller than the sum of its proper divisors (41714640).

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

13281840 is a wasteful number, since it uses less digits than its factorization.

13281840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13281840 is about 3644.4258807115. The cubic root of 13281840 is about 236.8205659944.

The spelling of 13281840 in words is "thirteen million, two hundred eighty-one thousand, eight hundred forty".