68576820 has 72 divisors (see below), whose sum is σ = 207952416. Its totient is φ = 16877952.

The previous prime is 68576813. The next prime is 68576839. The reversal of 68576820 is 2867586.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 6759 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (2888228).

Almost surely, 2^68576820 is an apocalyptic number.

68576820 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 68576820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103976208).

68576820 is an abundant number, since it is smaller than the sum of its proper divisors (139375596).

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

68576820 is a wasteful number, since it uses less digits than its factorization.

68576820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 68576820 is about 8281.1122441373. The cubic root of 68576820 is about 409.3163701751.

It can be divided in two parts, 68576 and 820, that added together give a palindrome (69396).

The spelling of 68576820 in words is "sixty-eight million, five hundred seventy-six thousand, eight hundred twenty".