20612900 has 72 divisors (see below), whose sum is σ = 55788096. Its totient is φ = 6422400.

The previous prime is 20612869. The next prime is 20612903. The reversal of 20612900 is 921602.

20612900 = 896² + 897² + ... + 920².

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

It is not an unprimeable number, because it can be changed into a prime (20612903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6362 + ... + 9038.

Almost surely, 2^20612900 is an apocalyptic number.

20612900 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 20612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27894048).

20612900 is an abundant number, since it is smaller than the sum of its proper divisors (35175196).

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

20612900 is a wasteful number, since it uses less digits than its factorization.

20612900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 20612900 is about 4540.1431695487. The cubic root of 20612900 is about 274.1866879111.

It can be divided in two parts, 20612 and 900, that added together give a palindrome (21512).

The spelling of 20612900 in words is "twenty million, six hundred twelve thousand, nine hundred".