5735880 has 128 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 1483776.

The previous prime is 5735879. The next prime is 5735893. The reversal of 5735880 is 885375.

It is a happy number.

5735880 is a `hidden beast` number, since 5 + 73 + 588 + 0 = 666.

5735880 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50704 + ... + 50816.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 2^5735880 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 5735880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849600).

5735880 is an abundant number, since it is smaller than the sum of its proper divisors (13963320).

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

5735880 is a wasteful number, since it uses less digits than its factorization.

5735880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5735880 is about 2394.9697284099. The cubic root of 5735880 is about 179.0056280286.

5735880 divided by its sum of digits (36) gives a triangular number (159330 = T₅₆₄).

It can be divided in two parts, 57 and 35880, that added together give a cube (35937 = 33³).

The spelling of 5735880 in words is "five million, seven hundred thirty-five thousand, eight hundred eighty".