68001120 has 336 divisors, whose sum is σ = 267723792. Its totient is φ = 16174080.

The previous prime is 68001113. The next prime is 68001121. The reversal of 68001120 is 2110086.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 68001093 and 68001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68001121) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1283014 + ... + 1283066.

It is an arithmetic number, because the mean of its divisors is an integer number (796797).

Almost surely, 2^68001120 is an apocalyptic number.

68001120 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 68001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133861896).

68001120 is an abundant number, since it is smaller than the sum of its proper divisors (199722672).

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

68001120 is a wasteful number, since it uses less digits than its factorization.

68001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 68001120 is about 8246.2791609307. The cubic root of 68001120 is about 408.1677510881.

It can be divided in two parts, 68001 and 120, that added together give a square (68121 = 261²).

The spelling of 68001120 in words is "sixty-eight million, one thousand, one hundred twenty".