5181680 has 80 divisors (see below), whose sum is σ = 14522880. Its totient is φ = 1679616.

The previous prime is 5181679. The next prime is 5181697. The reversal of 5181680 is 861815.

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

It is a super-3 number, since 3×5181680³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

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, 10397 + ... + 10883.

It is an arithmetic number, because the mean of its divisors is an integer number (181536).

Almost surely, 2^5181680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261440).

5181680 is an abundant number, since it is smaller than the sum of its proper divisors (9341200).

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

5181680 is a wasteful number, since it uses less digits than its factorization.

5181680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 5181680 is about 2276.3303802392. The cubic root of 5181680 is about 173.0441265366.

The spelling of 5181680 in words is "five million, one hundred eighty-one thousand, six hundred eighty".