68143824 has 120 divisors (see below), whose sum is σ = 221424320. Its totient is φ = 19160064.

The previous prime is 68143813. The next prime is 68143897. The reversal of 68143824 is 42834186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 67032 + ... + 68040.

Almost surely, 2^68143824 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 68143824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110712160).

68143824 is an abundant number, since it is smaller than the sum of its proper divisors (153280496).

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

68143824 is a wasteful number, since it uses less digits than its factorization.

68143824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 68143824 is about 8254.9272558878. The cubic root of 68143824 is about 408.4530722380.

The spelling of 68143824 in words is "sixty-eight million, one hundred forty-three thousand, eight hundred twenty-four".