5735904 has 48 divisors (see below), whose sum is σ = 15195600. Its totient is φ = 1894400.

The previous prime is 5735903. The next prime is 5735909. The reversal of 5735904 is 4095375.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14104 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (316575).

Almost surely, 2^5735904 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 5735904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597800).

5735904 is an abundant number, since it is smaller than the sum of its proper divisors (9459696).

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

5735904 is a wasteful number, since it uses less digits than its factorization.

5735904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 5735904 is about 2394.9747389064. The cubic root of 5735904 is about 179.0058776926.

The spelling of 5735904 in words is "five million, seven hundred thirty-five thousand, nine hundred four".