68034120 has 256 divisors, whose sum is σ = 262656000. Its totient is φ = 13685760.

The previous prime is 68034103. The next prime is 68034121. The reversal of 68034120 is 2143086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (68034121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341781 + ... + 341979.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^68034120 is an apocalyptic number.

68034120 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 68034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

68034120 is an abundant number, since it is smaller than the sum of its proper divisors (194621880).

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

68034120 is a wasteful number, since it uses less digits than its factorization.

68034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68034120 is about 8248.2798206656. The cubic root of 68034120 is about 408.2337664592.

It can be divided in two parts, 680341 and 20, that added together give a triangular number (680361 = T₁₁₆₆).

The spelling of 68034120 in words is "sixty-eight million, thirty-four thousand, one hundred twenty".