68407680 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 15974400.

The previous prime is 68407673. The next prime is 68407693. The reversal of 68407680 is 8670486.

It is a super-2 number, since 2×68407680² = 9359221365964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865881 + ... + 865959.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^68407680 is an apocalyptic number.

68407680 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 68407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

68407680 is an abundant number, since it is smaller than the sum of its proper divisors (178350720).

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

68407680 is a wasteful number, since it uses less digits than its factorization.

68407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68407680 is about 8270.8935430218. The cubic root of 68407680 is about 408.9795762583.

The spelling of 68407680 in words is "sixty-eight million, four hundred seven thousand, six hundred eighty".