5185680 has 160 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1228800.

The previous prime is 5185669. The next prime is 5185681. The reversal of 5185680 is 865815.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126460 + ... + 126500.

Almost surely, 2^5185680 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 5185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5185680 is an abundant number, since it is smaller than the sum of its proper divisors (12813168).

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

5185680 is a wasteful number, since it uses less digits than its factorization.

5185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 5185680 is about 2277.2088178294. The cubic root of 5185680 is about 173.0886422454.

The spelling of 5185680 in words is "five million, one hundred eighty-five thousand, six hundred eighty".