5314320 has 180 divisors, whose sum is σ = 19938828. Its totient is φ = 1267200.

The previous prime is 5314303. The next prime is 5314391. The reversal of 5314320 is 234135.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 4460544 = 924^2 + 2112^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5314293 and 5314302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87090 + ... + 87150.

Almost surely, 2^5314320 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 5314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969414).

5314320 is an abundant number, since it is smaller than the sum of its proper divisors (14624508).

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

5314320 is a wasteful number, since it uses less digits than its factorization.

5314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5314320 is about 2305.2808939476. The cubic root of 5314320 is about 174.5082247774.

Adding to 5314320 its reverse (234135), we get a palindrome (5548455).

It can be divided in two parts, 531 and 4320, that added together give a triangular number (4851 = T₉₈).

The spelling of 5314320 in words is "five million, three hundred fourteen thousand, three hundred twenty".