537120 has 72 divisors (see below), whose sum is σ = 1837836. Its totient is φ = 142848.

The previous prime is 537091. The next prime is 537127. The reversal of 537120 is 21735.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 1296 = 732^2 + 36^2 .

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

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 537093 and 537102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 537120.

It is not an unprimeable number, because it can be changed into a prime (537127) by changing a digit.

537120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 1626.

2⁵³⁷¹²⁰ 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 537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918918).

537120 is an abundant number, since it is smaller than the sum of its proper divisors (1300716).

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

537120 is a wasteful number, since it uses less digits than its factorization.

537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 537120 is about 732.8847112609. The cubic root of 537120 is about 81.2875014260.

Adding to 537120 its reverse (21735), we get a palindrome (558855).

The spelling of 537120 in words is "five hundred thirty-seven thousand, one hundred twenty".