68479200 has 108 divisors (see below), whose sum is σ = 241500168. Its totient is φ = 18259200.

The previous prime is 68479199. The next prime is 68479207. The reversal of 68479200 is 297486.

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 (68479207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2445 + ... + 11955.

Almost surely, 2^68479200 is an apocalyptic number.

68479200 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 68479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120750084).

68479200 is an abundant number, since it is smaller than the sum of its proper divisors (173020968).

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

68479200 is a wasteful number, since it uses less digits than its factorization.

68479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9521 counting only the distinct ones).

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

The square root of 68479200 is about 8275.2160092653. The cubic root of 68479200 is about 409.1220555410.

The spelling of 68479200 in words is "sixty-eight million, four hundred seventy-nine thousand, two hundred".