5035680 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1234944.

The previous prime is 5035673. The next prime is 5035711. The reversal of 5035680 is 865305.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 3196944 = 1356^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18586 + ... + 18854.

Almost surely, 2^5035680 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 5035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

5035680 is an abundant number, since it is smaller than the sum of its proper divisors (13539240).

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

5035680 is a wasteful number, since it uses less digits than its factorization.

5035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5035680 is about 2244.0320853321. The cubic root of 5035680 is about 171.4033772499.

The spelling of 5035680 in words is "five million, thirty-five thousand, six hundred eighty".