68466720 has 288 divisors, whose sum is σ = 260620416. Its totient is φ = 15052800.

The previous prime is 68466719. The next prime is 68466731. The reversal of 68466720 is 2766486.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964285 + ... + 964355.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^68466720 is an apocalyptic number.

68466720 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 68466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208).

68466720 is an abundant number, since it is smaller than the sum of its proper divisors (192153696).

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

68466720 is a wasteful number, since it uses less digits than its factorization.

68466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 68466720 is about 8274.4619160402. The cubic root of 68466720 is about 409.0972005318.

The spelling of 68466720 in words is "sixty-eight million, four hundred sixty-six thousand, seven hundred twenty".