68634720 has 288 divisors, whose sum is σ = 292481280. Its totient is φ = 14238720.

The previous prime is 68634719. The next prime is 68634739. The reversal of 68634720 is 2743686.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 110571 + ... + 111189.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^68634720 is an apocalyptic number.

68634720 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 68634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

68634720 is an abundant number, since it is smaller than the sum of its proper divisors (223846560).

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

68634720 is a wasteful number, since it uses less digits than its factorization.

68634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68634720 is about 8284.6074137523. The cubic root of 68634720 is about 409.4315342159.

The spelling of 68634720 in words is "sixty-eight million, six hundred thirty-four thousand, seven hundred twenty".