203987680 has 96 divisors (see below), whose sum is σ = 524670048. Its totient is φ = 74496000.

The previous prime is 203987671. The next prime is 203987737. The reversal of 203987680 is 86789302.

It is a super-2 number, since 2×203987680² = 83221947183564800, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209595 + ... + 210565.

It is an arithmetic number, because the mean of its divisors is an integer number (5465313).

Almost surely, 2^203987680 is an apocalyptic number.

203987680 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 203987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262335024).

203987680 is an abundant number, since it is smaller than the sum of its proper divisors (320682368).

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

203987680 is a wasteful number, since it uses less digits than its factorization.

203987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 203987680 is about 14282.4255643080. The cubic root of 203987680 is about 588.6646809680.

The spelling of 203987680 in words is "two hundred three million, nine hundred eighty-seven thousand, six hundred eighty".