68228160 has 448 divisors, whose sum is σ = 294948864. Its totient is φ = 12902400.

The previous prime is 68228159. The next prime is 68228197. The reversal of 68228160 is 6182286.

68228160 = T₁₉₅₇ + T₁₉₅₈ + ... + T₁₉₉₁.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960925 + ... + 960995.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 2^68228160 is an apocalyptic number.

68228160 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 68228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

68228160 is an abundant number, since it is smaller than the sum of its proper divisors (226720704).

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

68228160 is a wasteful number, since it uses less digits than its factorization.

68228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 68228160 is about 8260.0338982355. The cubic root of 68228160 is about 408.6215056835.

The spelling of 68228160 in words is "sixty-eight million, two hundred twenty-eight thousand, one hundred sixty".