68973600 has 144 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 17740800.

The previous prime is 68973577. The next prime is 68973601. The reversal of 68973600 is 637986.

It is not an unprimeable number, because it can be changed into a prime (68973601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69105 + ... + 70095.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^68973600 is an apocalyptic number.

68973600 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 68973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

68973600 is an abundant number, since it is smaller than the sum of its proper divisors (163511520).

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

68973600 is a wasteful number, since it uses less digits than its factorization.

68973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 68973600 is about 8305.0346176280. The cubic root of 68973600 is about 410.1042764711.

The spelling of 68973600 in words is "sixty-eight million, nine hundred seventy-three thousand, six hundred".