20382800 has 30 divisors (see below), whose sum is σ = 48970638. Its totient is φ = 8152960.

The previous prime is 20382799. The next prime is 20382823. The reversal of 20382800 is 828302.

It can be written as a sum of positive squares in 3 ways, for example, as 3671056 + 16711744 = 1916^2 + 4088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25079 + ... + 25878.

Almost surely, 2^20382800 is an apocalyptic number.

20382800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20382800 is an abundant number, since it is smaller than the sum of its proper divisors (28587838).

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

20382800 is a wasteful number, since it uses less digits than its factorization.

20382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50975 (or 50964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20382800 is about 4514.7314427328. The cubic root of 20382800 is about 273.1626272328.

The spelling of 20382800 in words is "twenty million, three hundred eighty-two thousand, eight hundred".