20475360 has 144 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 5345280.

The previous prime is 20475349. The next prime is 20475373. The reversal of 20475360 is 6357402.

It is a happy number.

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

It is a congruent number.

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, 84840 + ... + 85080.

It is an arithmetic number, because the mean of its divisors is an integer number (495495).

Almost surely, 2^20475360 is an apocalyptic number.

20475360 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 20475360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

20475360 is an abundant number, since it is smaller than the sum of its proper divisors (50875920).

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

20475360 is a wasteful number, since it uses less digits than its factorization.

20475360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20475360 is about 4524.9707181373. The cubic root of 20475360 is about 273.5754876983.

The spelling of 20475360 in words is "twenty million, four hundred seventy-five thousand, three hundred sixty".