20075120 has 80 divisors (see below), whose sum is σ = 51038400. Its totient is φ = 7299072.

The previous prime is 20075089. The next prime is 20075141. The reversal of 20075120 is 2157002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100781 + ... + 100979.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 2^20075120 is an apocalyptic number.

20075120 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 20075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519200).

20075120 is an abundant number, since it is smaller than the sum of its proper divisors (30963280).

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

20075120 is a wasteful number, since it uses less digits than its factorization.

20075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 20075120 is about 4480.5267547466. The cubic root of 20075120 is about 271.7811821447.

The spelling of 20075120 in words is "twenty million, seventy-five thousand, one hundred twenty".