203985864 has 128 divisors (see below), whose sum is σ = 584496000. Its totient is φ = 66718080.

The previous prime is 203985853. The next prime is 203985959. The reversal of 203985864 is 468589302.

It is a super-2 number, since 2×203985864² = 83220465423652992, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1557079 + ... + 1557209.

It is an arithmetic number, because the mean of its divisors is an integer number (4566375).

Almost surely, 2^203985864 is an apocalyptic number.

203985864 is a gapful number since it is divisible by the number (24) 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 203985864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292248000).

203985864 is an abundant number, since it is smaller than the sum of its proper divisors (380510136).

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

203985864 is an equidigital number, since it uses as much as digits as its factorization.

203985864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 203985864 is about 14282.3619895310. The cubic root of 203985864 is about 588.6629341006.

It can be divided in two parts, 20398 and 5864, that added together give a palindrome (26262).

The spelling of 203985864 in words is "two hundred three million, nine hundred eighty-five thousand, eight hundred sixty-four".