68393136 has 80 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 18864384.

The previous prime is 68393113. The next prime is 68393147. The reversal of 68393136 is 63139386.

It is a junction number, because it is equal to n+sod(n) for n = 68393094 and 68393103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6235 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^68393136 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 68393136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

68393136 is an abundant number, since it is smaller than the sum of its proper divisors (140522064).

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

68393136 is a wasteful number, since it uses less digits than its factorization.

68393136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7060 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 68393136 is about 8270.0142684278. The cubic root of 68393136 is about 408.9505901340.

The spelling of 68393136 in words is "sixty-eight million, three hundred ninety-three thousand, one hundred thirty-six".