68052096 has 256 divisors, whose sum is σ = 239904000. Its totient is φ = 18579456.

The previous prime is 68052059. The next prime is 68052097. The reversal of 68052096 is 69025086.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68052096.

It is not an unprimeable number, because it can be changed into a prime (68052097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701520 + ... + 701616.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^68052096 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 68052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

68052096 is an abundant number, since it is smaller than the sum of its proper divisors (171851904).

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

68052096 is a wasteful number, since it uses less digits than its factorization.

68052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68052096 is about 8249.3694304474. The cubic root of 68052096 is about 408.2697178512.

The spelling of 68052096 in words is "sixty-eight million, fifty-two thousand, ninety-six".