20146320 has 100 divisors (see below), whose sum is σ = 69993660. Its totient is φ = 5370624.

The previous prime is 20146319. The next prime is 20146331. The reversal of 20146320 is 2364102.

It is a happy number.

20146320 is a `hidden beast` number, since 20 + 14 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 14837904 = 2304^2 + 3852^2 .

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 = 20146293 and 20146302.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4926 + ... + 8034.

Almost surely, 2^20146320 is an apocalyptic number.

20146320 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 20146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34996830).

20146320 is an abundant number, since it is smaller than the sum of its proper divisors (49847340).

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

20146320 is a wasteful number, since it uses less digits than its factorization.

20146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20146320 is about 4488.4652165300. The cubic root of 20146320 is about 272.1021098750.

The spelling of 20146320 in words is "twenty million, one hundred forty-six thousand, three hundred twenty".