67983900 has 72 divisors (see below), whose sum is σ = 207070080. Its totient is φ = 17173440.

The previous prime is 67983869. The next prime is 67983907. The reversal of 67983900 is 938976.

It is a happy number.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67983907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 264 + ... + 11663.

Almost surely, 2^67983900 is an apocalyptic number.

67983900 is a gapful number since it is divisible by the number (60) 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 67983900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103535040).

67983900 is an abundant number, since it is smaller than the sum of its proper divisors (139086180).

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

67983900 is a wasteful number, since it uses less digits than its factorization.

67983900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 67983900 is about 8245.2349875549. The cubic root of 67983900 is about 408.1332945868.

The spelling of 67983900 in words is "sixty-seven million, nine hundred eighty-three thousand, nine hundred".