13206480 has 120 divisors (see below), whose sum is σ = 47666592. Its totient is φ = 3015936.

The previous prime is 13206449. The next prime is 13206491. The reversal of 13206480 is 8460231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13206480² = 348822227980800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13206480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199 + ... + 12321.

Almost surely, 2^13206480 is an apocalyptic number.

13206480 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 13206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23833296).

13206480 is an abundant number, since it is smaller than the sum of its proper divisors (34460112).

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

13206480 is a wasteful number, since it uses less digits than its factorization.

13206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13206480 is about 3634.0720961478. The cubic root of 13206480 is about 236.3718164643.

The spelling of 13206480 in words is "thirteen million, two hundred six thousand, four hundred eighty".