13416960 has 80 divisors (see below), whose sum is σ = 42916896. Its totient is φ = 3575808.

The previous prime is 13416959. The next prime is 13416971. The reversal of 13416960 is 6961431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6807 + ... + 8553.

Almost surely, 2^13416960 is an apocalyptic number.

13416960 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 13416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458448).

13416960 is an abundant number, since it is smaller than the sum of its proper divisors (29499936).

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

13416960 is an equidigital number, since it uses as much as digits as its factorization.

13416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13416960 is about 3662.9168704736. The cubic root of 13416960 is about 237.6209393284.

It can be divided in two parts, 1341 and 6960, that multiplied together give a triangular number (9333360 = T₄₃₂₀).

The spelling of 13416960 in words is "thirteen million, four hundred sixteen thousand, nine hundred sixty".