68412120 has 128 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 14952960.

The previous prime is 68412109. The next prime is 68412161. The reversal of 68412120 is 2121486.

It is a super-3 number, since 3×68412120³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17550 + ... + 21090.

It is an arithmetic number, because the mean of its divisors is an integer number (1912680).

Almost surely, 2^68412120 is an apocalyptic number.

68412120 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 68412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

68412120 is an abundant number, since it is smaller than the sum of its proper divisors (176410920).

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

68412120 is a wasteful number, since it uses less digits than its factorization.

68412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68412120 is about 8271.1619498109. The cubic root of 68412120 is about 408.9884243391.

The spelling of 68412120 in words is "sixty-eight million, four hundred twelve thousand, one hundred twenty".