20612800 has 84 divisors (see below), whose sum is σ = 54677056. Its totient is φ = 7603200.

The previous prime is 20612797. The next prime is 20612803. The reversal of 20612800 is 821602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20612797) and next prime (20612803).

It is not an unprimeable number, because it can be changed into a prime (20612803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20305 + ... + 21295.

Almost surely, 2^20612800 is an apocalyptic number.

20612800 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 20612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27338528).

20612800 is an abundant number, since it is smaller than the sum of its proper divisors (34064256).

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

20612800 is a wasteful number, since it uses less digits than its factorization.

20612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20612800 is about 4540.1321566668. The cubic root of 20612800 is about 274.1862445203.

It can be divided in two parts, 20612 and 800, that added together give a palindrome (21412).

The spelling of 20612800 in words is "twenty million, six hundred twelve thousand, eight hundred".