68349120 has 168 divisors, whose sum is σ = 252612144. Its totient is φ = 15611904.

The previous prime is 68349109. The next prime is 68349121. The reversal of 68349120 is 2194386.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (68349121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46314 + ... + 47766.

Almost surely, 2^68349120 is an apocalyptic number.

68349120 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 68349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126306072).

68349120 is an abundant number, since it is smaller than the sum of its proper divisors (184263024).

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

68349120 is a wasteful number, since it uses less digits than its factorization.

68349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

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

The square root of 68349120 is about 8267.3526597092. The cubic root of 68349120 is about 408.8628414059.

The spelling of 68349120 in words is "sixty-eight million, three hundred forty-nine thousand, one hundred twenty".