20535120 has 100 divisors (see below), whose sum is σ = 71344020. Its totient is φ = 5474304.

The previous prime is 20535107. The next prime is 20535121. The reversal of 20535120 is 2153502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 8088336 = 3528^2 + 2844^2 .

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 = 20535093 and 20535102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4896 + ... + 8064.

Almost surely, 2^20535120 is an apocalyptic number.

20535120 is a gapful number since it is divisible by the number (20) 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 20535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35672010).

20535120 is an abundant number, since it is smaller than the sum of its proper divisors (50808900).

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

20535120 is a wasteful number, since it uses less digits than its factorization.

20535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20535120 is about 4531.5692646146. The cubic root of 20535120 is about 273.8413843899.

Adding to 20535120 its reverse (2153502), we get a palindrome (22688622).

The spelling of 20535120 in words is "twenty million, five hundred thirty-five thousand, one hundred twenty".