20629800 has 144 divisors (see below), whose sum is σ = 70678140. Its totient is φ = 5391360.

The previous prime is 20629799. The next prime is 20629853. The reversal of 20629800 is 892602.

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 14607684 = 2454^2 + 3822^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 131322 + ... + 131478.

Almost surely, 2^20629800 is an apocalyptic number.

20629800 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 20629800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35339070).

20629800 is an abundant number, since it is smaller than the sum of its proper divisors (50048340).

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

20629800 is a wasteful number, since it uses less digits than its factorization.

20629800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20629800 is about 4542.0039630102. The cubic root of 20629800 is about 274.2616003726.

The spelling of 20629800 in words is "twenty million, six hundred twenty-nine thousand, eight hundred".