20553120 has 144 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 4695552.

The previous prime is 20553107. The next prime is 20553133. The reversal of 20553120 is 2135502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20553107) and next prime (20553133).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 20553093 and 20553102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9061 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^20553120 is an apocalyptic number.

20553120 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 20553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

20553120 is an abundant number, since it is smaller than the sum of its proper divisors (59643360).

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

20553120 is a wasteful number, since it uses less digits than its factorization.

20553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2056 counting only the distinct ones).

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

The square root of 20553120 is about 4533.5548965464. The cubic root of 20553120 is about 273.9213726476.

Adding to 20553120 its reverse (2135502), we get a palindrome (22688622).

The spelling of 20553120 in words is "twenty million, five hundred fifty-three thousand, one hundred twenty".