20825700 has 144 divisors (see below), whose sum is σ = 70662144. Its totient is φ = 4636800.

The previous prime is 20825699. The next prime is 20825713. The reversal of 20825700 is 752802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98595 + ... + 98805.

Almost surely, 2^20825700 is an apocalyptic number.

20825700 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 20825700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35331072).

20825700 is an abundant number, since it is smaller than the sum of its proper divisors (49836444).

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

20825700 is a wasteful number, since it uses less digits than its factorization.

20825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 20825700 is about 4563.5183794962. The cubic root of 20825700 is about 275.1269936875.

The spelling of 20825700 in words is "twenty million, eight hundred twenty-five thousand, seven hundred".