68844160 has 192 divisors, whose sum is σ = 208373760. Its totient is φ = 21288960.

The previous prime is 68844137. The next prime is 68844179. The reversal of 68844160 is 6144886.

68844160 = 216² + 217² + ... + 600².

It is a super-2 number, since 2×68844160² = 9479036732211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542017 + ... + 542143.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 2^68844160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

68844160 is an abundant number, since it is smaller than the sum of its proper divisors (139529600).

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

68844160 is a wasteful number, since it uses less digits than its factorization.

68844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 68844160 is about 8297.2380946915. The cubic root of 68844160 is about 409.8475737180.

The spelling of 68844160 in words is "sixty-eight million, eight hundred forty-four thousand, one hundred sixty".