68190120 has 128 divisors (see below), whose sum is σ = 229881600. Its totient is φ = 17978112.

The previous prime is 68190071. The next prime is 68190151. The reversal of 68190120 is 2109186.

It is a super-2 number, since 2×68190120² = 9299784931228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 110934 + ... + 111546.

It is an arithmetic number, because the mean of its divisors is an integer number (1795950).

Almost surely, 2^68190120 is an apocalyptic number.

68190120 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 68190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114940800).

68190120 is an abundant number, since it is smaller than the sum of its proper divisors (161691480).

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

68190120 is a wasteful number, since it uses less digits than its factorization.

68190120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 68190120 is about 8257.7309232016. The cubic root of 68190120 is about 408.5455504778.

The spelling of 68190120 in words is "sixty-eight million, one hundred ninety thousand, one hundred twenty".