13830080 has 56 divisors (see below), whose sum is σ = 35935920. Its totient is φ = 5027840.

The previous prime is 13830059. The next prime is 13830101. The reversal of 13830080 is 8003831.

It is an interprime number because it is at equal distance from previous prime (13830059) and next prime (13830101).

It is a super-2 number, since 2×13830080² = 382542225612800, which contains 22 as substring.

It is a congruent number.

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, 1556 + ... + 5484.

Almost surely, 2^13830080 is an apocalyptic number.

13830080 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 13830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967960).

13830080 is an abundant number, since it is smaller than the sum of its proper divisors (22105840).

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

13830080 is a wasteful number, since it uses less digits than its factorization.

13830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13830080 is about 3718.8815522950. The cubic root of 13830080 is about 240.0351800281.

The spelling of 13830080 in words is "thirteen million, eight hundred thirty thousand, eighty".