68299200 has 420 divisors, whose sum is σ = 274393152. Its totient is φ = 16588800.

The previous prime is 68299193. The next prime is 68299207. The reversal of 68299200 is 299286.

It is an interprime number because it is at equal distance from previous prime (68299193) and next prime (68299207).

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 (68299207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203185 + ... + 2203215.

Almost surely, 2^68299200 is an apocalyptic number.

68299200 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 68299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137196576).

68299200 is an abundant number, since it is smaller than the sum of its proper divisors (206093952).

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

68299200 is a wasteful number, since it uses less digits than its factorization.

68299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68299200 is about 8264.3330039393. Note that the first 3 decimals coincide. The cubic root of 68299200 is about 408.7632770706.

The spelling of 68299200 in words is "sixty-eight million, two hundred ninety-nine thousand, two hundred".