20386800 has 180 divisors, whose sum is σ = 80954640. Its totient is φ = 4654080.

The previous prime is 20386787. The next prime is 20386813. The reversal of 20386800 is 868302.

It is an interprime number because it is at equal distance from previous prime (20386787) and next prime (20386813).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20386800² = 831243228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24796 + ... + 25604.

It is an arithmetic number, because the mean of its divisors is an integer number (449748).

Almost surely, 2^20386800 is an apocalyptic number.

20386800 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 20386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477320).

20386800 is an abundant number, since it is smaller than the sum of its proper divisors (60567840).

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

20386800 is a wasteful number, since it uses less digits than its factorization.

20386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20386800 is about 4515.1744152358. The cubic root of 20386800 is about 273.1804948964.

The spelling of 20386800 in words is "twenty million, three hundred eighty-six thousand, eight hundred".