68242800 has 240 divisors, whose sum is σ = 236636640. Its totient is φ = 16773120.

The previous prime is 68242799. The next prime is 68242831. The reversal of 68242800 is 824286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287574 + ... + 1287626.

It is an arithmetic number, because the mean of its divisors is an integer number (985986).

Almost surely, 2^68242800 is an apocalyptic number.

68242800 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 68242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118318320).

68242800 is an abundant number, since it is smaller than the sum of its proper divisors (168393840).

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

68242800 is a wasteful number, since it uses less digits than its factorization.

68242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68242800 is about 8260.9200456124. The cubic root of 68242800 is about 408.6507301319.

The spelling of 68242800 in words is "sixty-eight million, two hundred forty-two thousand, eight hundred".