68121636 has 48 divisors (see below), whose sum is σ = 176359680. Its totient is φ = 20290720.

The previous prime is 68121617. The next prime is 68121643. The reversal of 68121636 is 63612186.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68121597 and 68121606.

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 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 12161.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^68121636 is an apocalyptic number.

68121636 is a gapful number since it is divisible by the number (66) 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 68121636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

68121636 is an abundant number, since it is smaller than the sum of its proper divisors (108238044).

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

68121636 is a wasteful number, since it uses less digits than its factorization.

68121636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8822 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 68121636 is about 8253.5832218498. The cubic root of 68121636 is about 408.4087359111.

It can be divided in two parts, 6812 and 1636, that added together give a palindrome (8448).

The spelling of 68121636 in words is "sixty-eight million, one hundred twenty-one thousand, six hundred thirty-six".