20829900 has 216 divisors, whose sum is σ = 76193040. Its totient is φ = 4354560.

The previous prime is 20829899. The next prime is 20829943. The reversal of 20829900 is 992802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191046 + ... + 191154.

Almost surely, 2^20829900 is an apocalyptic number.

20829900 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 20829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096520).

20829900 is an abundant number, since it is smaller than the sum of its proper divisors (55363140).

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

20829900 is a wasteful number, since it uses less digits than its factorization.

20829900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 20829900 is about 4563.9785275569. The cubic root of 20829900 is about 275.1454877549.

The spelling of 20829900 in words is "twenty million, eight hundred twenty-nine thousand, nine hundred".