68967360 has 336 divisors, whose sum is σ = 296704512. Its totient is φ = 14284800.

The previous prime is 68967337. The next prime is 68967361. The reversal of 68967360 is 6376986.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68967361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221605 + ... + 221915.

Almost surely, 2^68967360 is an apocalyptic number.

68967360 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 68967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148352256).

68967360 is an abundant number, since it is smaller than the sum of its proper divisors (227737152).

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

68967360 is a wasteful number, since it uses less digits than its factorization.

68967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 68967360 is about 8304.6589333940. The cubic root of 68967360 is about 410.0919088026.

The spelling of 68967360 in words is "sixty-eight million, nine hundred sixty-seven thousand, three hundred sixty".