67980600 has 96 divisors (see below), whose sum is σ = 234174000. Its totient is φ = 18126720.

The previous prime is 67980587. The next prime is 67980641. The reversal of 67980600 is 608976.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

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 23 ways as a sum of consecutive naturals, for example, 895 + ... + 11694.

Almost surely, 2^67980600 is an apocalyptic number.

67980600 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 67980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117087000).

67980600 is an abundant number, since it is smaller than the sum of its proper divisors (166193400).

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

67980600 is a wasteful number, since it uses less digits than its factorization.

67980600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67980600 is about 8245.0348695442. The cubic root of 67980600 is about 408.1266907602.

The spelling of 67980600 in words is "sixty-seven million, nine hundred eighty thousand, six hundred".