20832500 has 60 divisors (see below), whose sum is σ = 49137396. Its totient is φ = 7680000.

The previous prime is 20832491. The next prime is 20832523. The reversal of 20832500 is 523802.

It can be written as a sum of positive squares in 10 ways, for example, as 15319396 + 5513104 = 3914^2 + 2348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 32180 + ... + 32820.

Almost surely, 2^20832500 is an apocalyptic number.

20832500 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 20832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568698).

20832500 is an abundant number, since it is smaller than the sum of its proper divisors (28304896).

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

20832500 is a wasteful number, since it uses less digits than its factorization.

20832500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 20832500 is about 4564.2633578706. The cubic root of 20832500 is about 275.1569352176.

It can be divided in two parts, 208 and 32500, that multiplied together give a square (6760000 = 2600²).

The spelling of 20832500 in words is "twenty million, eight hundred thirty-two thousand, five hundred".