13864080 has 80 divisors (see below), whose sum is σ = 43729344. Its totient is φ = 3632640.

The previous prime is 13864073. The next prime is 13864121. The reversal of 13864080 is 8046831.

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, 14167 + ... + 15113.

Almost surely, 2^13864080 is an apocalyptic number.

13864080 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 13864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864672).

13864080 is an abundant number, since it is smaller than the sum of its proper divisors (29865264).

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

13864080 is a wasteful number, since it uses less digits than its factorization.

13864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

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

The square root of 13864080 is about 3723.4500130927. The cubic root of 13864080 is about 240.2317206455.

The spelling of 13864080 in words is "thirteen million, eight hundred sixty-four thousand, eighty".