13441680 has 240 divisors, whose sum is σ = 54282240. Its totient is φ = 3048192.

The previous prime is 13441657. The next prime is 13441723. The reversal of 13441680 is 8614431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13441680² = 361357522444800, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105777 + ... + 105903.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

Almost surely, 2^13441680 is an apocalyptic number.

13441680 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 13441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

13441680 is an abundant number, since it is smaller than the sum of its proper divisors (40840560).

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

13441680 is a wasteful number, since it uses less digits than its factorization.

13441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13441680 is about 3666.2896775896. The cubic root of 13441680 is about 237.7667842344.

It can be divided in two parts, 134 and 41680, that added together give a palindrome (41814).

The spelling of 13441680 in words is "thirteen million, four hundred forty-one thousand, six hundred eighty".