5430816 has 72 divisors (see below), whose sum is σ = 15675660. Its totient is φ = 1783296.

The previous prime is 5430811. The next prime is 5430833. The reversal of 5430816 is 6180345.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 608400 = 2196^2 + 780^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5430816.

It is not an unprimeable number, because it can be changed into a prime (5430811) 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, 31306 + ... + 31478.

Almost surely, 2^5430816 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 5430816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837830).

5430816 is an abundant number, since it is smaller than the sum of its proper divisors (10244844).

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

5430816 is a wasteful number, since it uses less digits than its factorization.

5430816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5430816 is about 2330.4111225275. The cubic root of 5430816 is about 175.7741593644.

The spelling of 5430816 in words is "five million, four hundred thirty thousand, eight hundred sixteen".