20355120 has 120 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 5105664.

The previous prime is 20355109. The next prime is 20355121. The reversal of 20355120 is 2155302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 20355093 and 20355102.

It is not an unprimeable number, because it can be changed into a prime (20355121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11409 + ... + 13071.

Almost surely, 2^20355120 is an apocalyptic number.

20355120 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 20355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

20355120 is an abundant number, since it is smaller than the sum of its proper divisors (52068816).

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

20355120 is a wasteful number, since it uses less digits than its factorization.

20355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

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

The square root of 20355120 is about 4511.6648811719. The cubic root of 20355120 is about 273.0389188970.

The spelling of 20355120 in words is "twenty million, three hundred fifty-five thousand, one hundred twenty".