5435920 has 80 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1751040.

The previous prime is 5435909. The next prime is 5435953. The reversal of 5435920 is 295345.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9235 + ... + 9805.

Almost surely, 2^5435920 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 5435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

5435920 is an abundant number, since it is smaller than the sum of its proper divisors (9884528).

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

5435920 is a wasteful number, since it uses less digits than its factorization.

5435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5435920 is about 2331.5059510968. The cubic root of 5435920 is about 175.8292075929.

The spelling of 5435920 in words is "five million, four hundred thirty-five thousand, nine hundred twenty".