20395800 has 120 divisors (see below), whose sum is σ = 70893900. Its totient is φ = 5434560.

The previous prime is 20395789. The next prime is 20395811. The reversal of 20395800 is 859302.

It is an interprime number because it is at equal distance from previous prime (20395789) and next prime (20395811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 15571 + ... + 16829.

Almost surely, 2^20395800 is an apocalyptic number.

20395800 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 20395800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35446950).

20395800 is an abundant number, since it is smaller than the sum of its proper divisors (50498100).

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

20395800 is a wasteful number, since it uses less digits than its factorization.

20395800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20395800 is about 4516.1709445060. The cubic root of 20395800 is about 273.2206885960.

The spelling of 20395800 in words is "twenty million, three hundred ninety-five thousand, eight hundred".