68268096 has 140 divisors (see below), whose sum is σ = 218149932. Its totient is φ = 20984832.

The previous prime is 68268077. The next prime is 68268113. The reversal of 68268096 is 69086286.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 65028096 = 1800^2 + 8064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66886 + ... + 67898.

Almost surely, 2^68268096 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 68268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109074966).

68268096 is an abundant number, since it is smaller than the sum of its proper divisors (149881836).

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

68268096 is a wasteful number, since it uses less digits than its factorization.

68268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 68268096 is about 8262.4509680845. The cubic root of 68268096 is about 408.7012162973.

The spelling of 68268096 in words is "sixty-eight million, two hundred sixty-eight thousand, ninety-six".