68974200 has 192 divisors, whose sum is σ = 243064800. Its totient is φ = 17971200.

The previous prime is 68974187. The next prime is 68974201. The reversal of 68974200 is 247986.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68974201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 286080 + ... + 286320.

Almost surely, 2^68974200 is an apocalyptic number.

68974200 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 68974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532400).

68974200 is an abundant number, since it is smaller than the sum of its proper divisors (174090600).

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

68974200 is a wasteful number, since it uses less digits than its factorization.

68974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68974200 is about 8305.0707402165. The cubic root of 68974200 is about 410.1054656307.

The spelling of 68974200 in words is "sixty-eight million, nine hundred seventy-four thousand, two hundred".