20332800 has 162 divisors, whose sum is σ = 72900282. Its totient is φ = 5406720.

The previous prime is 20332777. The next prime is 20332817. The reversal of 20332800 is 823302.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 19501056 = 912^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57424 + ... + 57776.

Almost surely, 2^20332800 is an apocalyptic number.

20332800 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 20332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36450141).

20332800 is an abundant number, since it is smaller than the sum of its proper divisors (52567482).

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

20332800 is a wasteful number, since it uses less digits than its factorization.

20332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

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

The square root of 20332800 is about 4509.1906147334. The cubic root of 20332800 is about 272.9390839410.

The spelling of 20332800 in words is "twenty million, three hundred thirty-two thousand, eight hundred".