68576144 has 60 divisors (see below), whose sum is σ = 164471616. Its totient is φ = 27121536.

The previous prime is 68576141. The next prime is 68576161. The reversal of 68576144 is 44167586.

68576144 = T₇₂ + T₇₃ + ... + T₇₄₃.

It is not an unprimeable number, because it can be changed into a prime (68576141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17117 + ... + 20739.

Almost surely, 2^68576144 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 68576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82235808).

68576144 is an abundant number, since it is smaller than the sum of its proper divisors (95895472).

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

68576144 is a wasteful number, since it uses less digits than its factorization.

68576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3645 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 68576144 is about 8281.0714282634. The cubic root of 68576144 is about 409.3150252174.

The spelling of 68576144 in words is "sixty-eight million, five hundred seventy-six thousand, one hundred forty-four".