654120 has 96 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 164736.

The previous prime is 654107. The next prime is 654127. The reversal of 654120 is 21456.

It is a happy number.

654120 is a `hidden beast` number, since 654 + 12 + 0 = 666.

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 = 654093 and 654102.

It is not an unprimeable number, because it can be changed into a prime (654127) by changing a digit.

654120 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8241 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁶⁵⁴¹²⁰ is an apocalyptic number.

654120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

654120 is an abundant number, since it is smaller than the sum of its proper divisors (1592280).

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

654120 is a wasteful number, since it uses less digits than its factorization.

654120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 654120 is about 808.7768542682. The cubic root of 654120 is about 86.8065459751.

Adding to 654120 its reverse (21456), we get a palindrome (675576).

It can be divided in two parts, 6541 and 20, that added together give a 8-th power (6561 = 3⁸).

The spelling of 654120 in words is "six hundred fifty-four thousand, one hundred twenty".