68436960 has 96 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 17453568.

The previous prime is 68436959. The next prime is 68436967. The reversal of 68436960 is 6963486.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68436967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7941 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^68436960 is an apocalyptic number.

68436960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

68436960 is an abundant number, since it is smaller than the sum of its proper divisors (156548640).

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

68436960 is a wasteful number, since it uses less digits than its factorization.

68436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 68436960 is about 8272.6634163370. The cubic root of 68436960 is about 409.0379187031.

It can be divided in two parts, 68436 and 960, that added together give a palindrome (69396).

The spelling of 68436960 in words is "sixty-eight million, four hundred thirty-six thousand, nine hundred sixty".