5435760 has 160 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1254400.

The previous prime is 5435747. The next prime is 5435791. The reversal of 5435760 is 675345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 76525 + ... + 76595.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 2^5435760 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 5435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5435760 is an abundant number, since it is smaller than the sum of its proper divisors (13848720).

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

5435760 is a wasteful number, since it uses less digits than its factorization.

5435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5435760 is about 2331.4716382577. The cubic root of 5435760 is about 175.8274824664.

The spelling of 5435760 in words is "five million, four hundred thirty-five thousand, seven hundred sixty".