68307360 has 192 divisors, whose sum is σ = 248863104. Its totient is φ = 15564800.

The previous prime is 68307359. The next prime is 68307361. The reversal of 68307360 is 6370386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68307359) and next prime (68307361).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (68307361) 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, 89380 + ... + 90140.

It is an arithmetic number, because the mean of its divisors is an integer number (1296162).

Almost surely, 2^68307360 is an apocalyptic number.

68307360 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 68307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

68307360 is an abundant number, since it is smaller than the sum of its proper divisors (180555744).

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

68307360 is a wasteful number, since it uses less digits than its factorization.

68307360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 68307360 is about 8264.8266769485. The cubic root of 68307360 is about 408.7795553263.

The spelling of 68307360 in words is "sixty-eight million, three hundred seven thousand, three hundred sixty".