5685408 has 72 divisors (see below), whose sum is σ = 17035200. Its totient is φ = 1793664.

The previous prime is 5685403. The next prime is 5685413. The reversal of 5685408 is 8045865.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5685403) and next prime (5685413).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5685403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4953 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (236600).

Almost surely, 2^5685408 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 5685408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517600).

5685408 is an abundant number, since it is smaller than the sum of its proper divisors (11349792).

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

5685408 is a wasteful number, since it uses less digits than its factorization.

5685408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5685408 is about 2384.4093608271. The cubic root of 5685408 is about 178.4790362123.

The spelling of 5685408 in words is "five million, six hundred eighty-five thousand, four hundred eight".