13468080 has 80 divisors (see below), whose sum is σ = 44220384. Its totient is φ = 3379200.

The previous prime is 13468079. The next prime is 13468109. The reversal of 13468080 is 8086431.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 5730.

Almost surely, 2^13468080 is an apocalyptic number.

13468080 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 13468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110192).

13468080 is an abundant number, since it is smaller than the sum of its proper divisors (30752304).

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

13468080 is a wasteful number, since it uses less digits than its factorization.

13468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13468080 is about 3669.8882816783. Note that the first 3 decimals coincide. The cubic root of 13468080 is about 237.9223436120.

The spelling of 13468080 in words is "thirteen million, four hundred sixty-eight thousand, eighty".