5363120 has 80 divisors (see below), whose sum is σ = 14576448. Its totient is φ = 1797120.

The previous prime is 5363081. The next prime is 5363131. The reversal of 5363120 is 213635.

5363120 = T₅₃₆ + T₅₃₇ + ... + T₅₇₀.

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

It is a super-2 number, since 2×5363120² = 57526112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 5 + 3¹² + 6⁶ + 3¹⁴ + 1 + 2¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5363092 and 5363101.

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 15 ways as a sum of consecutive naturals, for example, 34082 + ... + 34238.

Almost surely, 2^5363120 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 5363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288224).

5363120 is an abundant number, since it is smaller than the sum of its proper divisors (9213328).

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

5363120 is a wasteful number, since it uses less digits than its factorization.

5363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5363120 is about 2315.8410999030. The cubic root of 5363120 is about 175.0407524140.

Adding to 5363120 its reverse (213635), we get a palindrome (5576755).

The spelling of 5363120 in words is "five million, three hundred sixty-three thousand, one hundred twenty".