68284800 has 144 divisors (see below), whose sum is σ = 243758580. Its totient is φ = 18201600.

The previous prime is 68284793. The next prime is 68284807. The reversal of 68284800 is 848286.

It is an interprime number because it is at equal distance from previous prime (68284793) and next prime (68284807).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×68284800² = 9325627822080000, which contains 22 as substring.

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 (68284807) 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, 27615 + ... + 29985.

Almost surely, 2^68284800 is an apocalyptic number.

68284800 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 68284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121879290).

68284800 is an abundant number, since it is smaller than the sum of its proper divisors (175473780).

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

68284800 is a wasteful number, since it uses less digits than its factorization.

68284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68284800 is about 8263.4617443297. The cubic root of 68284800 is about 408.7345475740.

It can be divided in two parts, 6828 and 4800, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 68284800 in words is "sixty-eight million, two hundred eighty-four thousand, eight hundred".