68084820 has 96 divisors (see below), whose sum is σ = 215510400. Its totient is φ = 17839872.

The previous prime is 68084789. The next prime is 68084839. The reversal of 68084820 is 2848086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30792 + ... + 32928.

It is an arithmetic number, because the mean of its divisors is an integer number (2244900).

Almost surely, 2^68084820 is an apocalyptic number.

68084820 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 68084820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107755200).

68084820 is an abundant number, since it is smaller than the sum of its proper divisors (147425580).

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

68084820 is a wasteful number, since it uses less digits than its factorization.

68084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

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

The square root of 68084820 is about 8251.3526163896. The cubic root of 68084820 is about 408.3351484949.

It can be divided in two parts, 6808 and 4820, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 68084820 in words is "sixty-eight million, eighty-four thousand, eight hundred twenty".