68577824 has 48 divisors (see below), whose sum is σ = 156945600. Its totient is φ = 28886784.

The previous prime is 68577811. The next prime is 68577827. The reversal of 68577824 is 42877586.

It is not an unprimeable number, because it can be changed into a prime (68577827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10622 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (3269700).

Almost surely, 2^68577824 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 68577824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78472800).

68577824 is an abundant number, since it is smaller than the sum of its proper divisors (88367776).

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

68577824 is a wasteful number, since it uses less digits than its factorization.

68577824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5257 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 68577824 is about 8281.1728637917. The cubic root of 68577824 is about 409.3183676996.

The spelling of 68577824 in words is "sixty-eight million, five hundred seventy-seven thousand, eight hundred twenty-four".